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Finding the Fourth Proportional to 855.38, 1,179.74 and 560.59

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Solution

The fourth proportional to 855.38, 1,179.74 and 560.59 is: 773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.38 : 1,179.74 = 560.59 : x
  2. Step 2: Convert to fraction form
    855.38/1,179.74 = 560.59/x
  3. Step 3: Cross multiply
    855.38x = 1,179.74 × 560.59
  4. Step 4: Simplify right side
    855.38x = 661,344.55
  5. Step 5: Solve for x
    x = 661,344.55/855.38
  6. Step 6: Final answer
    x = 773.16

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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.