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Finding the Fourth Proportional to 959.49, 1,323.86 and 566.64

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Solution

The fourth proportional to 959.49, 1,323.86 and 566.64 is: 781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.49 : 1,323.86 = 566.64 : x
  2. Step 2: Convert to fraction form
    959.49/1,323.86 = 566.64/x
  3. Step 3: Cross multiply
    959.49x = 1,323.86 × 566.64
  4. Step 4: Simplify right side
    959.49x = 750,149.20
  5. Step 5: Solve for x
    x = 750,149.20/959.49
  6. Step 6: Final answer
    x = 781.82

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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.