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Finding the Fourth Proportional to 1,101.92, 1,652.41 and 371.55

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Solution

The fourth proportional to 1,101.92, 1,652.41 and 371.55 is: 557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.92 : 1,652.41 = 371.55 : x
  2. Step 2: Convert to fraction form
    1,101.92/1,652.41 = 371.55/x
  3. Step 3: Cross multiply
    1,101.92x = 1,652.41 × 371.55
  4. Step 4: Simplify right side
    1,101.92x = 613,959.60
  5. Step 5: Solve for x
    x = 613,959.60/1,101.92
  6. Step 6: Final answer
    x = 557.18

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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.