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Finding the Fourth Proportional to 790.20, 1,180.13 and 696.78

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Solution

The fourth proportional to 790.20, 1,180.13 and 696.78 is: 1,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.20 : 1,180.13 = 696.78 : x
  2. Step 2: Convert to fraction form
    790.20/1,180.13 = 696.78/x
  3. Step 3: Cross multiply
    790.20x = 1,180.13 × 696.78
  4. Step 4: Simplify right side
    790.20x = 822,287.50
  5. Step 5: Solve for x
    x = 822,287.50/790.20
  6. Step 6: Final answer
    x = 1,040.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.