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Finding the Fourth Proportional to 959.34, 1,323.81 and 539.73

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Solution

The fourth proportional to 959.34, 1,323.81 and 539.73 is: 744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.34 : 1,323.81 = 539.73 : x
  2. Step 2: Convert to fraction form
    959.34/1,323.81 = 539.73/x
  3. Step 3: Cross multiply
    959.34x = 1,323.81 × 539.73
  4. Step 4: Simplify right side
    959.34x = 714,499.97
  5. Step 5: Solve for x
    x = 714,499.97/959.34
  6. Step 6: Final answer
    x = 744.78

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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.