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Finding the Fourth Proportional to 944.38, 1,414.14 and 652.78

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Solution

The fourth proportional to 944.38, 1,414.14 and 652.78 is: 977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.38 : 1,414.14 = 652.78 : x
  2. Step 2: Convert to fraction form
    944.38/1,414.14 = 652.78/x
  3. Step 3: Cross multiply
    944.38x = 1,414.14 × 652.78
  4. Step 4: Simplify right side
    944.38x = 923,122.31
  5. Step 5: Solve for x
    x = 923,122.31/944.38
  6. Step 6: Final answer
    x = 977.49

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Why These Related Problems?

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