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Finding the Fourth Proportional to 722.54, 998.39 and 565.61

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Solution

The fourth proportional to 722.54, 998.39 and 565.61 is: 781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.54 : 998.39 = 565.61 : x
  2. Step 2: Convert to fraction form
    722.54/998.39 = 565.61/x
  3. Step 3: Cross multiply
    722.54x = 998.39 × 565.61
  4. Step 4: Simplify right side
    722.54x = 564,695.79
  5. Step 5: Solve for x
    x = 564,695.79/722.54
  6. Step 6: Final answer
    x = 781.54

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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.