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Finding the Fourth Proportional to 826.62, 1,238.85 and 461.04

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Solution

The fourth proportional to 826.62, 1,238.85 and 461.04 is: 690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.62 : 1,238.85 = 461.04 : x
  2. Step 2: Convert to fraction form
    826.62/1,238.85 = 461.04/x
  3. Step 3: Cross multiply
    826.62x = 1,238.85 × 461.04
  4. Step 4: Simplify right side
    826.62x = 571,159.40
  5. Step 5: Solve for x
    x = 571,159.40/826.62
  6. Step 6: Final answer
    x = 690.96

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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.