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Finding the Fourth Proportional to 732.09, 1,097.60 and 472.38

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Solution

The fourth proportional to 732.09, 1,097.60 and 472.38 is: 708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.09 : 1,097.60 = 472.38 : x
  2. Step 2: Convert to fraction form
    732.09/1,097.60 = 472.38/x
  3. Step 3: Cross multiply
    732.09x = 1,097.60 × 472.38
  4. Step 4: Simplify right side
    732.09x = 518,486.64
  5. Step 5: Solve for x
    x = 518,486.64/732.09
  6. Step 6: Final answer
    x = 708.23

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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.