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Finding the Fourth Proportional to 798.24, 1,101.12 and 588.44

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Solution

The fourth proportional to 798.24, 1,101.12 and 588.44 is: 811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.24 : 1,101.12 = 588.44 : x
  2. Step 2: Convert to fraction form
    798.24/1,101.12 = 588.44/x
  3. Step 3: Cross multiply
    798.24x = 1,101.12 × 588.44
  4. Step 4: Simplify right side
    798.24x = 647,943.05
  5. Step 5: Solve for x
    x = 647,943.05/798.24
  6. Step 6: Final answer
    x = 811.71

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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.