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Finding the Fourth Proportional to 1,299.91, 1,948.77 and 519.43

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Solution

The fourth proportional to 1,299.91, 1,948.77 and 519.43 is: 778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.91 : 1,948.77 = 519.43 : x
  2. Step 2: Convert to fraction form
    1,299.91/1,948.77 = 519.43/x
  3. Step 3: Cross multiply
    1,299.91x = 1,948.77 × 519.43
  4. Step 4: Simplify right side
    1,299.91x = 1,012,239.86
  5. Step 5: Solve for x
    x = 1,012,239.86/1,299.91
  6. Step 6: Final answer
    x = 778.70

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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.