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Finding the Fourth Proportional to 1,486.91, 2,229.90 and 512.79

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Solution

The fourth proportional to 1,486.91, 2,229.90 and 512.79 is: 769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.91 : 2,229.90 = 512.79 : x
  2. Step 2: Convert to fraction form
    1,486.91/2,229.90 = 512.79/x
  3. Step 3: Cross multiply
    1,486.91x = 2,229.90 × 512.79
  4. Step 4: Simplify right side
    1,486.91x = 1,143,470.42
  5. Step 5: Solve for x
    x = 1,143,470.42/1,486.91
  6. Step 6: Final answer
    x = 769.02

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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.