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Finding the Fourth Proportional to 1,320.54, 1,822.39 and 731.12

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Solution

The fourth proportional to 1,320.54, 1,822.39 and 731.12 is: 1,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.54 : 1,822.39 = 731.12 : x
  2. Step 2: Convert to fraction form
    1,320.54/1,822.39 = 731.12/x
  3. Step 3: Cross multiply
    1,320.54x = 1,822.39 × 731.12
  4. Step 4: Simplify right side
    1,320.54x = 1,332,374.84
  5. Step 5: Solve for x
    x = 1,332,374.84/1,320.54
  6. Step 6: Final answer
    x = 1,008.96

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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.