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Finding the Fourth Proportional to 959.44, 1,323.88 and 566.48

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Solution

The fourth proportional to 959.44, 1,323.88 and 566.48 is: 781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.44 : 1,323.88 = 566.48 : x
  2. Step 2: Convert to fraction form
    959.44/1,323.88 = 566.48/x
  3. Step 3: Cross multiply
    959.44x = 1,323.88 × 566.48
  4. Step 4: Simplify right side
    959.44x = 749,951.54
  5. Step 5: Solve for x
    x = 749,951.54/959.44
  6. Step 6: Final answer
    x = 781.66

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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.