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Finding the Fourth Proportional to 1,253.97, 1,879.16 and 560.39

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Solution

The fourth proportional to 1,253.97, 1,879.16 and 560.39 is: 839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.97 : 1,879.16 = 560.39 : x
  2. Step 2: Convert to fraction form
    1,253.97/1,879.16 = 560.39/x
  3. Step 3: Cross multiply
    1,253.97x = 1,879.16 × 560.39
  4. Step 4: Simplify right side
    1,253.97x = 1,053,050.27
  5. Step 5: Solve for x
    x = 1,053,050.27/1,253.97
  6. Step 6: Final answer
    x = 839.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.