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Finding the Fourth Proportional to 1,115.88, 1,674.04 and 422.56

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Solution

The fourth proportional to 1,115.88, 1,674.04 and 422.56 is: 633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.88 : 1,674.04 = 422.56 : x
  2. Step 2: Convert to fraction form
    1,115.88/1,674.04 = 422.56/x
  3. Step 3: Cross multiply
    1,115.88x = 1,674.04 × 422.56
  4. Step 4: Simplify right side
    1,115.88x = 707,382.34
  5. Step 5: Solve for x
    x = 707,382.34/1,115.88
  6. Step 6: Final answer
    x = 633.92

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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.