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Finding the Fourth Proportional to 1,167.57, 1,611.27 and 643.61

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Solution

The fourth proportional to 1,167.57, 1,611.27 and 643.61 is: 888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.57 : 1,611.27 = 643.61 : x
  2. Step 2: Convert to fraction form
    1,167.57/1,611.27 = 643.61/x
  3. Step 3: Cross multiply
    1,167.57x = 1,611.27 × 643.61
  4. Step 4: Simplify right side
    1,167.57x = 1,037,021.43
  5. Step 5: Solve for x
    x = 1,037,021.43/1,167.57
  6. Step 6: Final answer
    x = 888.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.