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Finding the Fourth Proportional to 782.01, 1,171.79 and 628.92

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Solution

The fourth proportional to 782.01, 1,171.79 and 628.92 is: 942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.01 : 1,171.79 = 628.92 : x
  2. Step 2: Convert to fraction form
    782.01/1,171.79 = 628.92/x
  3. Step 3: Cross multiply
    782.01x = 1,171.79 × 628.92
  4. Step 4: Simplify right side
    782.01x = 736,962.17
  5. Step 5: Solve for x
    x = 736,962.17/782.01
  6. Step 6: Final answer
    x = 942.39

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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.