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Finding the Fourth Proportional to 1,358.92, 1,874.61 and 939.70

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Solution

The fourth proportional to 1,358.92, 1,874.61 and 939.70 is: 1,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.92 : 1,874.61 = 939.70 : x
  2. Step 2: Convert to fraction form
    1,358.92/1,874.61 = 939.70/x
  3. Step 3: Cross multiply
    1,358.92x = 1,874.61 × 939.70
  4. Step 4: Simplify right side
    1,358.92x = 1,761,571.02
  5. Step 5: Solve for x
    x = 1,761,571.02/1,358.92
  6. Step 6: Final answer
    x = 1,296.30

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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.