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Finding the Fourth Proportional to 782, 1,080.62 and 676.29

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Solution

The fourth proportional to 782, 1,080.62 and 676.29 is: 934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 1,080.62 = 676.29 : x
  2. Step 2: Convert to fraction form
    782/1,080.62 = 676.29/x
  3. Step 3: Cross multiply
    782x = 1,080.62 × 676.29
  4. Step 4: Simplify right side
    782x = 730,812.50
  5. Step 5: Solve for x
    x = 730,812.50/782
  6. Step 6: Final answer
    x = 934.54

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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.