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Finding the Fourth Proportional to 784.18, 1,081.80 and 560.12

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Solution

The fourth proportional to 784.18, 1,081.80 and 560.12 is: 772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.18 : 1,081.80 = 560.12 : x
  2. Step 2: Convert to fraction form
    784.18/1,081.80 = 560.12/x
  3. Step 3: Cross multiply
    784.18x = 1,081.80 × 560.12
  4. Step 4: Simplify right side
    784.18x = 605,940.52
  5. Step 5: Solve for x
    x = 605,940.52/784.18
  6. Step 6: Final answer
    x = 772.71

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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.