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Finding the Fourth Proportional to 825.31, 1,139.15 and 573.26

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Solution

The fourth proportional to 825.31, 1,139.15 and 573.26 is: 791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.31 : 1,139.15 = 573.26 : x
  2. Step 2: Convert to fraction form
    825.31/1,139.15 = 573.26/x
  3. Step 3: Cross multiply
    825.31x = 1,139.15 × 573.26
  4. Step 4: Simplify right side
    825.31x = 653,029.13
  5. Step 5: Solve for x
    x = 653,029.13/825.31
  6. Step 6: Final answer
    x = 791.25

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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.