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Finding the Fourth Proportional to 1,132.77, 1,563.23 and 635.41

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Solution

The fourth proportional to 1,132.77, 1,563.23 and 635.41 is: 876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.77 : 1,563.23 = 635.41 : x
  2. Step 2: Convert to fraction form
    1,132.77/1,563.23 = 635.41/x
  3. Step 3: Cross multiply
    1,132.77x = 1,563.23 × 635.41
  4. Step 4: Simplify right side
    1,132.77x = 993,292.84
  5. Step 5: Solve for x
    x = 993,292.84/1,132.77
  6. Step 6: Final answer
    x = 876.87

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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.