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Finding the Fourth Proportional to 959.25, 1,323.78 and 545.25

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Solution

The fourth proportional to 959.25, 1,323.78 and 545.25 is: 752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.25 : 1,323.78 = 545.25 : x
  2. Step 2: Convert to fraction form
    959.25/1,323.78 = 545.25/x
  3. Step 3: Cross multiply
    959.25x = 1,323.78 × 545.25
  4. Step 4: Simplify right side
    959.25x = 721,791.05
  5. Step 5: Solve for x
    x = 721,791.05/959.25
  6. Step 6: Final answer
    x = 752.45

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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.