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Finding the Fourth Proportional to 1,279.71, 1,919.07 and 457.92

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Solution

The fourth proportional to 1,279.71, 1,919.07 and 457.92 is: 686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.71 : 1,919.07 = 457.92 : x
  2. Step 2: Convert to fraction form
    1,279.71/1,919.07 = 457.92/x
  3. Step 3: Cross multiply
    1,279.71x = 1,919.07 × 457.92
  4. Step 4: Simplify right side
    1,279.71x = 878,780.53
  5. Step 5: Solve for x
    x = 878,780.53/1,279.71
  6. Step 6: Final answer
    x = 686.70

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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.