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Finding the Fourth Proportional to 772.75, 1,066.41 and 462.25

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Solution

The fourth proportional to 772.75, 1,066.41 and 462.25 is: 637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.75 : 1,066.41 = 462.25 : x
  2. Step 2: Convert to fraction form
    772.75/1,066.41 = 462.25/x
  3. Step 3: Cross multiply
    772.75x = 1,066.41 × 462.25
  4. Step 4: Simplify right side
    772.75x = 492,948.02
  5. Step 5: Solve for x
    x = 492,948.02/772.75
  6. Step 6: Final answer
    x = 637.91

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.