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Finding the Fourth Proportional to 959.84, 1,324.24 and 566.96

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Solution

The fourth proportional to 959.84, 1,324.24 and 566.96 is: 782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.84 : 1,324.24 = 566.96 : x
  2. Step 2: Convert to fraction form
    959.84/1,324.24 = 566.96/x
  3. Step 3: Cross multiply
    959.84x = 1,324.24 × 566.96
  4. Step 4: Simplify right side
    959.84x = 750,791.11
  5. Step 5: Solve for x
    x = 750,791.11/959.84
  6. Step 6: Final answer
    x = 782.20

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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.