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Finding the Fourth Proportional to 1,320.54, 1,821.87 and 796.38

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Solution

The fourth proportional to 1,320.54, 1,821.87 and 796.38 is: 1,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.54 : 1,821.87 = 796.38 : x
  2. Step 2: Convert to fraction form
    1,320.54/1,821.87 = 796.38/x
  3. Step 3: Cross multiply
    1,320.54x = 1,821.87 × 796.38
  4. Step 4: Simplify right side
    1,320.54x = 1,450,900.83
  5. Step 5: Solve for x
    x = 1,450,900.83/1,320.54
  6. Step 6: Final answer
    x = 1,098.72

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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.