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Finding the Fourth Proportional to 959.52, 1,320.48 and 849.36

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Solution

The fourth proportional to 959.52, 1,320.48 and 849.36 is: 1,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.52 : 1,320.48 = 849.36 : x
  2. Step 2: Convert to fraction form
    959.52/1,320.48 = 849.36/x
  3. Step 3: Cross multiply
    959.52x = 1,320.48 × 849.36
  4. Step 4: Simplify right side
    959.52x = 1,121,562.89
  5. Step 5: Solve for x
    x = 1,121,562.89/959.52
  6. Step 6: Final answer
    x = 1,168.88

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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.