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Finding the Fourth Proportional to 782.91, 1,079.96 and 551.07

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Solution

The fourth proportional to 782.91, 1,079.96 and 551.07 is: 760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.91 : 1,079.96 = 551.07 : x
  2. Step 2: Convert to fraction form
    782.91/1,079.96 = 551.07/x
  3. Step 3: Cross multiply
    782.91x = 1,079.96 × 551.07
  4. Step 4: Simplify right side
    782.91x = 595,130.80
  5. Step 5: Solve for x
    x = 595,130.80/782.91
  6. Step 6: Final answer
    x = 760.15

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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.