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Finding the Fourth Proportional to 952.97, 1,314.36 and 638.14

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Solution

The fourth proportional to 952.97, 1,314.36 and 638.14 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.97 : 1,314.36 = 638.14 : x
  2. Step 2: Convert to fraction form
    952.97/1,314.36 = 638.14/x
  3. Step 3: Cross multiply
    952.97x = 1,314.36 × 638.14
  4. Step 4: Simplify right side
    952.97x = 838,737.52
  5. Step 5: Solve for x
    x = 838,737.52/952.97
  6. Step 6: Final answer
    x = 880.13

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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.