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Finding the Fourth Proportional to 1,147.53, 1,592.24 and 1,101.25

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Solution

The fourth proportional to 1,147.53, 1,592.24 and 1,101.25 is: 1,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.53 : 1,592.24 = 1,101.25 : x
  2. Step 2: Convert to fraction form
    1,147.53/1,592.24 = 1,101.25/x
  3. Step 3: Cross multiply
    1,147.53x = 1,592.24 × 1,101.25
  4. Step 4: Simplify right side
    1,147.53x = 1,753,454.30
  5. Step 5: Solve for x
    x = 1,753,454.30/1,147.53
  6. Step 6: Final answer
    x = 1,528.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.