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Finding the Fourth Proportional to 732.06, 1,010.16 and 412.97

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Solution

The fourth proportional to 732.06, 1,010.16 and 412.97 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.06 : 1,010.16 = 412.97 : x
  2. Step 2: Convert to fraction form
    732.06/1,010.16 = 412.97/x
  3. Step 3: Cross multiply
    732.06x = 1,010.16 × 412.97
  4. Step 4: Simplify right side
    732.06x = 417,165.78
  5. Step 5: Solve for x
    x = 417,165.78/732.06
  6. Step 6: Final answer
    x = 569.85

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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.