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Finding the Fourth Proportional to 1,382.25, 2,068.48 and 861.83

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Solution

The fourth proportional to 1,382.25, 2,068.48 and 861.83 is: 1,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.25 : 2,068.48 = 861.83 : x
  2. Step 2: Convert to fraction form
    1,382.25/2,068.48 = 861.83/x
  3. Step 3: Cross multiply
    1,382.25x = 2,068.48 × 861.83
  4. Step 4: Simplify right side
    1,382.25x = 1,782,678.12
  5. Step 5: Solve for x
    x = 1,782,678.12/1,382.25
  6. Step 6: Final answer
    x = 1,289.69

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Why These Related Problems?

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