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Finding the Fourth Proportional to 1,132.43, 1,562.94 and 660.40

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Solution

The fourth proportional to 1,132.43, 1,562.94 and 660.40 is: 911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.43 : 1,562.94 = 660.40 : x
  2. Step 2: Convert to fraction form
    1,132.43/1,562.94 = 660.40/x
  3. Step 3: Cross multiply
    1,132.43x = 1,562.94 × 660.40
  4. Step 4: Simplify right side
    1,132.43x = 1,032,168.60
  5. Step 5: Solve for x
    x = 1,032,168.60/1,132.43
  6. Step 6: Final answer
    x = 911.46

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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.