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Finding the Fourth Proportional to 732.54, 1,097.07 and 407.10

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Solution

The fourth proportional to 732.54, 1,097.07 and 407.10 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.54 : 1,097.07 = 407.10 : x
  2. Step 2: Convert to fraction form
    732.54/1,097.07 = 407.10/x
  3. Step 3: Cross multiply
    732.54x = 1,097.07 × 407.10
  4. Step 4: Simplify right side
    732.54x = 446,617.20
  5. Step 5: Solve for x
    x = 446,617.20/732.54
  6. Step 6: Final answer
    x = 609.68

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