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Finding the Fourth Proportional to 1,115.83, 1,674.15 and 422.54

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Solution

The fourth proportional to 1,115.83, 1,674.15 and 422.54 is: 633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.83 : 1,674.15 = 422.54 : x
  2. Step 2: Convert to fraction form
    1,115.83/1,674.15 = 422.54/x
  3. Step 3: Cross multiply
    1,115.83x = 1,674.15 × 422.54
  4. Step 4: Simplify right side
    1,115.83x = 707,395.34
  5. Step 5: Solve for x
    x = 707,395.34/1,115.83
  6. Step 6: Final answer
    x = 633.96

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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.