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Finding the Fourth Proportional to 1,132.13, 1,562.30 and 627.95

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Solution

The fourth proportional to 1,132.13, 1,562.30 and 627.95 is: 866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.13 : 1,562.30 = 627.95 : x
  2. Step 2: Convert to fraction form
    1,132.13/1,562.30 = 627.95/x
  3. Step 3: Cross multiply
    1,132.13x = 1,562.30 × 627.95
  4. Step 4: Simplify right side
    1,132.13x = 981,043.15
  5. Step 5: Solve for x
    x = 981,043.15/1,132.13
  6. Step 6: Final answer
    x = 866.55

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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.