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Finding the Fourth Proportional to 1,132.72, 1,697.95 and 639.38

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Solution

The fourth proportional to 1,132.72, 1,697.95 and 639.38 is: 958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.72 : 1,697.95 = 639.38 : x
  2. Step 2: Convert to fraction form
    1,132.72/1,697.95 = 639.38/x
  3. Step 3: Cross multiply
    1,132.72x = 1,697.95 × 639.38
  4. Step 4: Simplify right side
    1,132.72x = 1,085,627.17
  5. Step 5: Solve for x
    x = 1,085,627.17/1,132.72
  6. Step 6: Final answer
    x = 958.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.