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Finding the Fourth Proportional to 825.12, 1,139.99 and 577.53

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Solution

The fourth proportional to 825.12, 1,139.99 and 577.53 is: 797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.12 : 1,139.99 = 577.53 : x
  2. Step 2: Convert to fraction form
    825.12/1,139.99 = 577.53/x
  3. Step 3: Cross multiply
    825.12x = 1,139.99 × 577.53
  4. Step 4: Simplify right side
    825.12x = 658,375.54
  5. Step 5: Solve for x
    x = 658,375.54/825.12
  6. Step 6: Final answer
    x = 797.91

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Why These Related Problems?

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