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Finding the Fourth Proportional to 839.57, 1,159.08 and 560.19

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Solution

The fourth proportional to 839.57, 1,159.08 and 560.19 is: 773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.57 : 1,159.08 = 560.19 : x
  2. Step 2: Convert to fraction form
    839.57/1,159.08 = 560.19/x
  3. Step 3: Cross multiply
    839.57x = 1,159.08 × 560.19
  4. Step 4: Simplify right side
    839.57x = 649,305.03
  5. Step 5: Solve for x
    x = 649,305.03/839.57
  6. Step 6: Final answer
    x = 773.38

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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.