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Finding the Fourth Proportional to 1,132.71, 1,697.21 and 474.02

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Solution

The fourth proportional to 1,132.71, 1,697.21 and 474.02 is: 710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.71 : 1,697.21 = 474.02 : x
  2. Step 2: Convert to fraction form
    1,132.71/1,697.21 = 474.02/x
  3. Step 3: Cross multiply
    1,132.71x = 1,697.21 × 474.02
  4. Step 4: Simplify right side
    1,132.71x = 804,511.48
  5. Step 5: Solve for x
    x = 804,511.48/1,132.71
  6. Step 6: Final answer
    x = 710.25

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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.