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Finding the Fourth Proportional to 959.16, 1,323.92 and 566.41

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Solution

The fourth proportional to 959.16, 1,323.92 and 566.41 is: 781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.16 : 1,323.92 = 566.41 : x
  2. Step 2: Convert to fraction form
    959.16/1,323.92 = 566.41/x
  3. Step 3: Cross multiply
    959.16x = 1,323.92 × 566.41
  4. Step 4: Simplify right side
    959.16x = 749,881.53
  5. Step 5: Solve for x
    x = 749,881.53/959.16
  6. Step 6: Final answer
    x = 781.81

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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.