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Finding the Fourth Proportional to 825.74, 1,139.22 and 510.91

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Solution

The fourth proportional to 825.74, 1,139.22 and 510.91 is: 704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.74 : 1,139.22 = 510.91 : x
  2. Step 2: Convert to fraction form
    825.74/1,139.22 = 510.91/x
  3. Step 3: Cross multiply
    825.74x = 1,139.22 × 510.91
  4. Step 4: Simplify right side
    825.74x = 582,036.04
  5. Step 5: Solve for x
    x = 582,036.04/825.74
  6. Step 6: Final answer
    x = 704.87

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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.