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Finding the Fourth Proportional to 825.72, 1,139.46 and 506.61

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Solution

The fourth proportional to 825.72, 1,139.46 and 506.61 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.72 : 1,139.46 = 506.61 : x
  2. Step 2: Convert to fraction form
    825.72/1,139.46 = 506.61/x
  3. Step 3: Cross multiply
    825.72x = 1,139.46 × 506.61
  4. Step 4: Simplify right side
    825.72x = 577,261.83
  5. Step 5: Solve for x
    x = 577,261.83/825.72
  6. Step 6: Final answer
    x = 699.10

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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.