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Finding the Fourth Proportional to 1,320.91, 1,822.83 and 731.44

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Solution

The fourth proportional to 1,320.91, 1,822.83 and 731.44 is: 1,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.91 : 1,822.83 = 731.44 : x
  2. Step 2: Convert to fraction form
    1,320.91/1,822.83 = 731.44/x
  3. Step 3: Cross multiply
    1,320.91x = 1,822.83 × 731.44
  4. Step 4: Simplify right side
    1,320.91x = 1,333,290.78
  5. Step 5: Solve for x
    x = 1,333,290.78/1,320.91
  6. Step 6: Final answer
    x = 1,009.37

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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.