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Finding the Fourth Proportional to 722.68, 997.70 and 442.97

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Solution

The fourth proportional to 722.68, 997.70 and 442.97 is: 611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.68 : 997.70 = 442.97 : x
  2. Step 2: Convert to fraction form
    722.68/997.70 = 442.97/x
  3. Step 3: Cross multiply
    722.68x = 997.70 × 442.97
  4. Step 4: Simplify right side
    722.68x = 441,951.17
  5. Step 5: Solve for x
    x = 441,951.17/722.68
  6. Step 6: Final answer
    x = 611.54

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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.