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Finding the Fourth Proportional to 3,074.75, 4,612.13 and 766.25

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Solution

The fourth proportional to 3,074.75, 4,612.13 and 766.25 is: 1,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.75 : 4,612.13 = 766.25 : x
  2. Step 2: Convert to fraction form
    3,074.75/4,612.13 = 766.25/x
  3. Step 3: Cross multiply
    3,074.75x = 4,612.13 × 766.25
  4. Step 4: Simplify right side
    3,074.75x = 3,534,044.61
  5. Step 5: Solve for x
    x = 3,534,044.61/3,074.75
  6. Step 6: Final answer
    x = 1,149.38

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.