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Finding the Fourth Proportional to 663.88, 997.26 and 542.44

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Solution

The fourth proportional to 663.88, 997.26 and 542.44 is: 814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.88 : 997.26 = 542.44 : x
  2. Step 2: Convert to fraction form
    663.88/997.26 = 542.44/x
  3. Step 3: Cross multiply
    663.88x = 997.26 × 542.44
  4. Step 4: Simplify right side
    663.88x = 540,953.71
  5. Step 5: Solve for x
    x = 540,953.71/663.88
  6. Step 6: Final answer
    x = 814.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.