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Finding the Fourth Proportional to 782.87, 1,079.12 and 626.13

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Solution

The fourth proportional to 782.87, 1,079.12 and 626.13 is: 863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.87 : 1,079.12 = 626.13 : x
  2. Step 2: Convert to fraction form
    782.87/1,079.12 = 626.13/x
  3. Step 3: Cross multiply
    782.87x = 1,079.12 × 626.13
  4. Step 4: Simplify right side
    782.87x = 675,670.97
  5. Step 5: Solve for x
    x = 675,670.97/782.87
  6. Step 6: Final answer
    x = 863.07

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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.