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Finding the Fourth Proportional to 1,132.64, 1,562.90 and 635.25

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Solution

The fourth proportional to 1,132.64, 1,562.90 and 635.25 is: 876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.64 : 1,562.90 = 635.25 : x
  2. Step 2: Convert to fraction form
    1,132.64/1,562.90 = 635.25/x
  3. Step 3: Cross multiply
    1,132.64x = 1,562.90 × 635.25
  4. Step 4: Simplify right side
    1,132.64x = 992,832.23
  5. Step 5: Solve for x
    x = 992,832.23/1,132.64
  6. Step 6: Final answer
    x = 876.56

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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.