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Finding the Fourth Proportional to 847.26, 1,166.40 and 759.78

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Solution

The fourth proportional to 847.26, 1,166.40 and 759.78 is: 1,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.26 : 1,166.40 = 759.78 : x
  2. Step 2: Convert to fraction form
    847.26/1,166.40 = 759.78/x
  3. Step 3: Cross multiply
    847.26x = 1,166.40 × 759.78
  4. Step 4: Simplify right side
    847.26x = 886,207.39
  5. Step 5: Solve for x
    x = 886,207.39/847.26
  6. Step 6: Final answer
    x = 1,045.97

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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.