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Finding the Fourth Proportional to 980.17, 1,352.59 and 560.51

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Solution

The fourth proportional to 980.17, 1,352.59 and 560.51 is: 773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.17 : 1,352.59 = 560.51 : x
  2. Step 2: Convert to fraction form
    980.17/1,352.59 = 560.51/x
  3. Step 3: Cross multiply
    980.17x = 1,352.59 × 560.51
  4. Step 4: Simplify right side
    980.17x = 758,140.22
  5. Step 5: Solve for x
    x = 758,140.22/980.17
  6. Step 6: Final answer
    x = 773.48

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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.