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Finding the Fourth Proportional to 731.86, 1,010.14 and 483.23

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Solution

The fourth proportional to 731.86, 1,010.14 and 483.23 is: 666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.86 : 1,010.14 = 483.23 : x
  2. Step 2: Convert to fraction form
    731.86/1,010.14 = 483.23/x
  3. Step 3: Cross multiply
    731.86x = 1,010.14 × 483.23
  4. Step 4: Simplify right side
    731.86x = 488,129.95
  5. Step 5: Solve for x
    x = 488,129.95/731.86
  6. Step 6: Final answer
    x = 666.97

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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.