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Finding the Fourth Proportional to 761.96, 1,049.46 and 630.92

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Solution

The fourth proportional to 761.96, 1,049.46 and 630.92 is: 868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.96 : 1,049.46 = 630.92 : x
  2. Step 2: Convert to fraction form
    761.96/1,049.46 = 630.92/x
  3. Step 3: Cross multiply
    761.96x = 1,049.46 × 630.92
  4. Step 4: Simplify right side
    761.96x = 662,125.30
  5. Step 5: Solve for x
    x = 662,125.30/761.96
  6. Step 6: Final answer
    x = 868.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.