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Finding the Fourth Proportional to 1,132.32, 1,562.41 and 660.29

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Solution

The fourth proportional to 1,132.32, 1,562.41 and 660.29 is: 911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.32 : 1,562.41 = 660.29 : x
  2. Step 2: Convert to fraction form
    1,132.32/1,562.41 = 660.29/x
  3. Step 3: Cross multiply
    1,132.32x = 1,562.41 × 660.29
  4. Step 4: Simplify right side
    1,132.32x = 1,031,643.70
  5. Step 5: Solve for x
    x = 1,031,643.70/1,132.32
  6. Step 6: Final answer
    x = 911.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.