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Finding the Fourth Proportional to 795.42, 1,195.56 and 698.22

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Solution

The fourth proportional to 795.42, 1,195.56 and 698.22 is: 1,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.42 : 1,195.56 = 698.22 : x
  2. Step 2: Convert to fraction form
    795.42/1,195.56 = 698.22/x
  3. Step 3: Cross multiply
    795.42x = 1,195.56 × 698.22
  4. Step 4: Simplify right side
    795.42x = 834,763.90
  5. Step 5: Solve for x
    x = 834,763.90/795.42
  6. Step 6: Final answer
    x = 1,049.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.