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Finding the Fourth Proportional to 959.52, 1,321.20 and 793.20

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Solution

The fourth proportional to 959.52, 1,321.20 and 793.20 is: 1,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.52 : 1,321.20 = 793.20 : x
  2. Step 2: Convert to fraction form
    959.52/1,321.20 = 793.20/x
  3. Step 3: Cross multiply
    959.52x = 1,321.20 × 793.20
  4. Step 4: Simplify right side
    959.52x = 1,047,975.84
  5. Step 5: Solve for x
    x = 1,047,975.84/959.52
  6. Step 6: Final answer
    x = 1,092.19

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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.