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Finding the Fourth Proportional to 1,132.26, 1,562.50 and 660.43

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Solution

The fourth proportional to 1,132.26, 1,562.50 and 660.43 is: 911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.26 : 1,562.50 = 660.43 : x
  2. Step 2: Convert to fraction form
    1,132.26/1,562.50 = 660.43/x
  3. Step 3: Cross multiply
    1,132.26x = 1,562.50 × 660.43
  4. Step 4: Simplify right side
    1,132.26x = 1,031,921.88
  5. Step 5: Solve for x
    x = 1,031,921.88/1,132.26
  6. Step 6: Final answer
    x = 911.38

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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.