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Finding the Fourth Proportional to 624.78, 862.43 and 559.17

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Solution

The fourth proportional to 624.78, 862.43 and 559.17 is: 771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.78 : 862.43 = 559.17 : x
  2. Step 2: Convert to fraction form
    624.78/862.43 = 559.17/x
  3. Step 3: Cross multiply
    624.78x = 862.43 × 559.17
  4. Step 4: Simplify right side
    624.78x = 482,242.07
  5. Step 5: Solve for x
    x = 482,242.07/624.78
  6. Step 6: Final answer
    x = 771.87

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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.