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Finding the Fourth Proportional to 959.52, 1,324.17 and 561.11

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Solution

The fourth proportional to 959.52, 1,324.17 and 561.11 is: 774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.52 : 1,324.17 = 561.11 : x
  2. Step 2: Convert to fraction form
    959.52/1,324.17 = 561.11/x
  3. Step 3: Cross multiply
    959.52x = 1,324.17 × 561.11
  4. Step 4: Simplify right side
    959.52x = 743,008.34
  5. Step 5: Solve for x
    x = 743,008.34/959.52
  6. Step 6: Final answer
    x = 774.35

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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.