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Finding the Fourth Proportional to 796.24, 1,098.41 and 691.19

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Solution

The fourth proportional to 796.24, 1,098.41 and 691.19 is: 953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.24 : 1,098.41 = 691.19 : x
  2. Step 2: Convert to fraction form
    796.24/1,098.41 = 691.19/x
  3. Step 3: Cross multiply
    796.24x = 1,098.41 × 691.19
  4. Step 4: Simplify right side
    796.24x = 759,206.24
  5. Step 5: Solve for x
    x = 759,206.24/796.24
  6. Step 6: Final answer
    x = 953.49

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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.