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Finding the Fourth Proportional to 1,320.54, 1,979.61 and 550.62

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Solution

The fourth proportional to 1,320.54, 1,979.61 and 550.62 is: 825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.54 : 1,979.61 = 550.62 : x
  2. Step 2: Convert to fraction form
    1,320.54/1,979.61 = 550.62/x
  3. Step 3: Cross multiply
    1,320.54x = 1,979.61 × 550.62
  4. Step 4: Simplify right side
    1,320.54x = 1,090,012.86
  5. Step 5: Solve for x
    x = 1,090,012.86/1,320.54
  6. Step 6: Final answer
    x = 825.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.