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Finding the Fourth Proportional to 1,182.24, 1,773.81 and 451.65

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Solution

The fourth proportional to 1,182.24, 1,773.81 and 451.65 is: 677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.24 : 1,773.81 = 451.65 : x
  2. Step 2: Convert to fraction form
    1,182.24/1,773.81 = 451.65/x
  3. Step 3: Cross multiply
    1,182.24x = 1,773.81 × 451.65
  4. Step 4: Simplify right side
    1,182.24x = 801,141.29
  5. Step 5: Solve for x
    x = 801,141.29/1,182.24
  6. Step 6: Final answer
    x = 677.65

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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.