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Finding the Fourth Proportional to 732.56, 1,010.84 and 417.82

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Solution

The fourth proportional to 732.56, 1,010.84 and 417.82 is: 576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.56 : 1,010.84 = 417.82 : x
  2. Step 2: Convert to fraction form
    732.56/1,010.84 = 417.82/x
  3. Step 3: Cross multiply
    732.56x = 1,010.84 × 417.82
  4. Step 4: Simplify right side
    732.56x = 422,349.17
  5. Step 5: Solve for x
    x = 422,349.17/732.56
  6. Step 6: Final answer
    x = 576.54

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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.