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Finding the Fourth Proportional to 950.52, 1,414.23 and 932.10

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Solution

The fourth proportional to 950.52, 1,414.23 and 932.10 is: 1,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.52 : 1,414.23 = 932.10 : x
  2. Step 2: Convert to fraction form
    950.52/1,414.23 = 932.10/x
  3. Step 3: Cross multiply
    950.52x = 1,414.23 × 932.10
  4. Step 4: Simplify right side
    950.52x = 1,318,203.78
  5. Step 5: Solve for x
    x = 1,318,203.78/950.52
  6. Step 6: Final answer
    x = 1,386.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.