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Finding the Fourth Proportional to 825.59, 1,139.67 and 560.23

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Solution

The fourth proportional to 825.59, 1,139.67 and 560.23 is: 773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.59 : 1,139.67 = 560.23 : x
  2. Step 2: Convert to fraction form
    825.59/1,139.67 = 560.23/x
  3. Step 3: Cross multiply
    825.59x = 1,139.67 × 560.23
  4. Step 4: Simplify right side
    825.59x = 638,474.47
  5. Step 5: Solve for x
    x = 638,474.47/825.59
  6. Step 6: Final answer
    x = 773.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.