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Finding the Fourth Proportional to 979.82, 1,352.27 and 560.24

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Solution

The fourth proportional to 979.82, 1,352.27 and 560.24 is: 773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,352.27 = 560.24 : x
  2. Step 2: Convert to fraction form
    979.82/1,352.27 = 560.24/x
  3. Step 3: Cross multiply
    979.82x = 1,352.27 × 560.24
  4. Step 4: Simplify right side
    979.82x = 757,586.18
  5. Step 5: Solve for x
    x = 757,586.18/979.82
  6. Step 6: Final answer
    x = 773.19

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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.