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Finding the Fourth Proportional to 1,101.62, 1,652.48 and 614.30

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Solution

The fourth proportional to 1,101.62, 1,652.48 and 614.30 is: 921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.62 : 1,652.48 = 614.30 : x
  2. Step 2: Convert to fraction form
    1,101.62/1,652.48 = 614.30/x
  3. Step 3: Cross multiply
    1,101.62x = 1,652.48 × 614.30
  4. Step 4: Simplify right side
    1,101.62x = 1,015,107.13
  5. Step 5: Solve for x
    x = 1,015,107.13/1,101.62
  6. Step 6: Final answer
    x = 921.47

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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.