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Finding the Fourth Proportional to 587.65, 809.92 and 519.76

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Solution

The fourth proportional to 587.65, 809.92 and 519.76 is: 716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.65 : 809.92 = 519.76 : x
  2. Step 2: Convert to fraction form
    587.65/809.92 = 519.76/x
  3. Step 3: Cross multiply
    587.65x = 809.92 × 519.76
  4. Step 4: Simplify right side
    587.65x = 420,960.70
  5. Step 5: Solve for x
    x = 420,960.70/587.65
  6. Step 6: Final answer
    x = 716.35

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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.