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Finding the Fourth Proportional to 559.98, 773.16 and 500.79

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Solution

The fourth proportional to 559.98, 773.16 and 500.79 is: 691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.98 : 773.16 = 500.79 : x
  2. Step 2: Convert to fraction form
    559.98/773.16 = 500.79/x
  3. Step 3: Cross multiply
    559.98x = 773.16 × 500.79
  4. Step 4: Simplify right side
    559.98x = 387,190.80
  5. Step 5: Solve for x
    x = 387,190.80/559.98
  6. Step 6: Final answer
    x = 691.44

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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.