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Finding the Fourth Proportional to 826.06, 1,139.97 and 458.06

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Solution

The fourth proportional to 826.06, 1,139.97 and 458.06 is: 632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.06 : 1,139.97 = 458.06 : x
  2. Step 2: Convert to fraction form
    826.06/1,139.97 = 458.06/x
  3. Step 3: Cross multiply
    826.06x = 1,139.97 × 458.06
  4. Step 4: Simplify right side
    826.06x = 522,175.79
  5. Step 5: Solve for x
    x = 522,175.79/826.06
  6. Step 6: Final answer
    x = 632.13

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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.