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Finding the Fourth Proportional to 825.99, 1,139.90 and 546.47

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Solution

The fourth proportional to 825.99, 1,139.90 and 546.47 is: 754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.99 : 1,139.90 = 546.47 : x
  2. Step 2: Convert to fraction form
    825.99/1,139.90 = 546.47/x
  3. Step 3: Cross multiply
    825.99x = 1,139.90 × 546.47
  4. Step 4: Simplify right side
    825.99x = 622,921.15
  5. Step 5: Solve for x
    x = 622,921.15/825.99
  6. Step 6: Final answer
    x = 754.15

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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.