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Finding the Fourth Proportional to 1,167.50, 1,611.17 and 754.22

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Solution

The fourth proportional to 1,167.50, 1,611.17 and 754.22 is: 1,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.50 : 1,611.17 = 754.22 : x
  2. Step 2: Convert to fraction form
    1,167.50/1,611.17 = 754.22/x
  3. Step 3: Cross multiply
    1,167.50x = 1,611.17 × 754.22
  4. Step 4: Simplify right side
    1,167.50x = 1,215,176.64
  5. Step 5: Solve for x
    x = 1,215,176.64/1,167.50
  6. Step 6: Final answer
    x = 1,040.84

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Why These Related Problems?

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