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Finding the Fourth Proportional to 790.74, 1,092.66 and 752.82

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Solution

The fourth proportional to 790.74, 1,092.66 and 752.82 is: 1,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.74 : 1,092.66 = 752.82 : x
  2. Step 2: Convert to fraction form
    790.74/1,092.66 = 752.82/x
  3. Step 3: Cross multiply
    790.74x = 1,092.66 × 752.82
  4. Step 4: Simplify right side
    790.74x = 822,576.30
  5. Step 5: Solve for x
    x = 822,576.30/790.74
  6. Step 6: Final answer
    x = 1,040.26

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