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Finding the Fourth Proportional to 1,116.09, 1,674.32 and 422.82

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Solution

The fourth proportional to 1,116.09, 1,674.32 and 422.82 is: 634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.09 : 1,674.32 = 422.82 : x
  2. Step 2: Convert to fraction form
    1,116.09/1,674.32 = 422.82/x
  3. Step 3: Cross multiply
    1,116.09x = 1,674.32 × 422.82
  4. Step 4: Simplify right side
    1,116.09x = 707,933.87
  5. Step 5: Solve for x
    x = 707,933.87/1,116.09
  6. Step 6: Final answer
    x = 634.30

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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.