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Finding the Fourth Proportional to 825.45, 1,139.48 and 577.74

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Solution

The fourth proportional to 825.45, 1,139.48 and 577.74 is: 797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.45 : 1,139.48 = 577.74 : x
  2. Step 2: Convert to fraction form
    825.45/1,139.48 = 577.74/x
  3. Step 3: Cross multiply
    825.45x = 1,139.48 × 577.74
  4. Step 4: Simplify right side
    825.45x = 658,320.32
  5. Step 5: Solve for x
    x = 658,320.32/825.45
  6. Step 6: Final answer
    x = 797.53

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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.