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Finding the Fourth Proportional to 826.28, 1,238.69 and 497.32

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Solution

The fourth proportional to 826.28, 1,238.69 and 497.32 is: 745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.28 : 1,238.69 = 497.32 : x
  2. Step 2: Convert to fraction form
    826.28/1,238.69 = 497.32/x
  3. Step 3: Cross multiply
    826.28x = 1,238.69 × 497.32
  4. Step 4: Simplify right side
    826.28x = 616,016.63
  5. Step 5: Solve for x
    x = 616,016.63/826.28
  6. Step 6: Final answer
    x = 745.53

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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.