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Finding the Fourth Proportional to 952.20, 1,314.48 and 638.10

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Solution

The fourth proportional to 952.20, 1,314.48 and 638.10 is: 880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.20 : 1,314.48 = 638.10 : x
  2. Step 2: Convert to fraction form
    952.20/1,314.48 = 638.10/x
  3. Step 3: Cross multiply
    952.20x = 1,314.48 × 638.10
  4. Step 4: Simplify right side
    952.20x = 838,769.69
  5. Step 5: Solve for x
    x = 838,769.69/952.20
  6. Step 6: Final answer
    x = 880.88

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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.