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Finding the Fourth Proportional to 860.67, 1,291.52 and 790.96

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Solution

The fourth proportional to 860.67, 1,291.52 and 790.96 is: 1,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.67 : 1,291.52 = 790.96 : x
  2. Step 2: Convert to fraction form
    860.67/1,291.52 = 790.96/x
  3. Step 3: Cross multiply
    860.67x = 1,291.52 × 790.96
  4. Step 4: Simplify right side
    860.67x = 1,021,540.66
  5. Step 5: Solve for x
    x = 1,021,540.66/860.67
  6. Step 6: Final answer
    x = 1,186.91

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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.