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Finding the Fourth Proportional to 826.72, 1,238.70 and 501.10

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Solution

The fourth proportional to 826.72, 1,238.70 and 501.10 is: 750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.72 : 1,238.70 = 501.10 : x
  2. Step 2: Convert to fraction form
    826.72/1,238.70 = 501.10/x
  3. Step 3: Cross multiply
    826.72x = 1,238.70 × 501.10
  4. Step 4: Simplify right side
    826.72x = 620,712.57
  5. Step 5: Solve for x
    x = 620,712.57/826.72
  6. Step 6: Final answer
    x = 750.81

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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.