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Finding the Fourth Proportional to 1,132.78, 1,563.23 and 635.43

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Solution

The fourth proportional to 1,132.78, 1,563.23 and 635.43 is: 876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.78 : 1,563.23 = 635.43 : x
  2. Step 2: Convert to fraction form
    1,132.78/1,563.23 = 635.43/x
  3. Step 3: Cross multiply
    1,132.78x = 1,563.23 × 635.43
  4. Step 4: Simplify right side
    1,132.78x = 993,323.24
  5. Step 5: Solve for x
    x = 993,323.24/1,132.78
  6. Step 6: Final answer
    x = 876.89

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