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Finding the Fourth Proportional to 721.08, 1,080.57 and 567.31

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Solution

The fourth proportional to 721.08, 1,080.57 and 567.31 is: 850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.08 : 1,080.57 = 567.31 : x
  2. Step 2: Convert to fraction form
    721.08/1,080.57 = 567.31/x
  3. Step 3: Cross multiply
    721.08x = 1,080.57 × 567.31
  4. Step 4: Simplify right side
    721.08x = 613,019.18
  5. Step 5: Solve for x
    x = 613,019.18/721.08
  6. Step 6: Final answer
    x = 850.14

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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.