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Finding the Fourth Proportional to 830.25, 1,146.20 and 498.75

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Solution

The fourth proportional to 830.25, 1,146.20 and 498.75 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.25 : 1,146.20 = 498.75 : x
  2. Step 2: Convert to fraction form
    830.25/1,146.20 = 498.75/x
  3. Step 3: Cross multiply
    830.25x = 1,146.20 × 498.75
  4. Step 4: Simplify right side
    830.25x = 571,664.76
  5. Step 5: Solve for x
    x = 571,664.76/830.25
  6. Step 6: Final answer
    x = 688.55

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Half scale
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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.