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Finding the Fourth Proportional to 826.17, 1,238.54 and 461.06

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Solution

The fourth proportional to 826.17, 1,238.54 and 461.06 is: 691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.17 : 1,238.54 = 461.06 : x
  2. Step 2: Convert to fraction form
    826.17/1,238.54 = 461.06/x
  3. Step 3: Cross multiply
    826.17x = 1,238.54 × 461.06
  4. Step 4: Simplify right side
    826.17x = 571,032.75
  5. Step 5: Solve for x
    x = 571,032.75/826.17
  6. Step 6: Final answer
    x = 691.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.