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Finding the Fourth Proportional to 825.33, 1,139.83 and 560.95

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Solution

The fourth proportional to 825.33, 1,139.83 and 560.95 is: 774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.33 : 1,139.83 = 560.95 : x
  2. Step 2: Convert to fraction form
    825.33/1,139.83 = 560.95/x
  3. Step 3: Cross multiply
    825.33x = 1,139.83 × 560.95
  4. Step 4: Simplify right side
    825.33x = 639,387.64
  5. Step 5: Solve for x
    x = 639,387.64/825.33
  6. Step 6: Final answer
    x = 774.71

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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.