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Finding the Fourth Proportional to 732.31, 1,097.15 and 485.66

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Solution

The fourth proportional to 732.31, 1,097.15 and 485.66 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.31 : 1,097.15 = 485.66 : x
  2. Step 2: Convert to fraction form
    732.31/1,097.15 = 485.66/x
  3. Step 3: Cross multiply
    732.31x = 1,097.15 × 485.66
  4. Step 4: Simplify right side
    732.31x = 532,842.18
  5. Step 5: Solve for x
    x = 532,842.18/732.31
  6. Step 6: Final answer
    x = 727.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.