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Finding the Fourth Proportional to 855.47, 1,179.50 and 560.23

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Solution

The fourth proportional to 855.47, 1,179.50 and 560.23 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.47 : 1,179.50 = 560.23 : x
  2. Step 2: Convert to fraction form
    855.47/1,179.50 = 560.23/x
  3. Step 3: Cross multiply
    855.47x = 1,179.50 × 560.23
  4. Step 4: Simplify right side
    855.47x = 660,785.54
  5. Step 5: Solve for x
    x = 660,785.54/855.47
  6. Step 6: Final answer
    x = 772.42

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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.