Home / 1,286.13-1,929.20-517.17

Finding the Fourth Proportional to 1,286.13, 1,929.20 and 517.17

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Solution

The fourth proportional to 1,286.13, 1,929.20 and 517.17 is: 775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.13 : 1,929.20 = 517.17 : x
  2. Step 2: Convert to fraction form
    1,286.13/1,929.20 = 517.17/x
  3. Step 3: Cross multiply
    1,286.13x = 1,929.20 × 517.17
  4. Step 4: Simplify right side
    1,286.13x = 997,731.92
  5. Step 5: Solve for x
    x = 997,731.92/1,286.13
  6. Step 6: Final answer
    x = 775.76

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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.