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Finding the Fourth Proportional to 959.22, 1,323.87 and 566.22

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Solution

The fourth proportional to 959.22, 1,323.87 and 566.22 is: 781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.22 : 1,323.87 = 566.22 : x
  2. Step 2: Convert to fraction form
    959.22/1,323.87 = 566.22/x
  3. Step 3: Cross multiply
    959.22x = 1,323.87 × 566.22
  4. Step 4: Simplify right side
    959.22x = 749,601.67
  5. Step 5: Solve for x
    x = 749,601.67/959.22
  6. Step 6: Final answer
    x = 781.47

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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.