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Finding the Fourth Proportional to 1,132.97, 1,563.05 and 690.71

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Solution

The fourth proportional to 1,132.97, 1,563.05 and 690.71 is: 952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.97 : 1,563.05 = 690.71 : x
  2. Step 2: Convert to fraction form
    1,132.97/1,563.05 = 690.71/x
  3. Step 3: Cross multiply
    1,132.97x = 1,563.05 × 690.71
  4. Step 4: Simplify right side
    1,132.97x = 1,079,603.00
  5. Step 5: Solve for x
    x = 1,079,603.00/1,132.97
  6. Step 6: Final answer
    x = 952.90

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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.