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Finding the Fourth Proportional to 1,320.53, 1,822.31 and 731.07

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Solution

The fourth proportional to 1,320.53, 1,822.31 and 731.07 is: 1,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.53 : 1,822.31 = 731.07 : x
  2. Step 2: Convert to fraction form
    1,320.53/1,822.31 = 731.07/x
  3. Step 3: Cross multiply
    1,320.53x = 1,822.31 × 731.07
  4. Step 4: Simplify right side
    1,320.53x = 1,332,227.06
  5. Step 5: Solve for x
    x = 1,332,227.06/1,320.53
  6. Step 6: Final answer
    x = 1,008.86

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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.