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Finding the Fourth Proportional to 1,167.29, 1,611.06 and 794.02

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Solution

The fourth proportional to 1,167.29, 1,611.06 and 794.02 is: 1,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.29 : 1,611.06 = 794.02 : x
  2. Step 2: Convert to fraction form
    1,167.29/1,611.06 = 794.02/x
  3. Step 3: Cross multiply
    1,167.29x = 1,611.06 × 794.02
  4. Step 4: Simplify right side
    1,167.29x = 1,279,213.86
  5. Step 5: Solve for x
    x = 1,279,213.86/1,167.29
  6. Step 6: Final answer
    x = 1,095.88

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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.