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Finding the Fourth Proportional to 826.59, 1,238.98 and 497.63

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Solution

The fourth proportional to 826.59, 1,238.98 and 497.63 is: 745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.59 : 1,238.98 = 497.63 : x
  2. Step 2: Convert to fraction form
    826.59/1,238.98 = 497.63/x
  3. Step 3: Cross multiply
    826.59x = 1,238.98 × 497.63
  4. Step 4: Simplify right side
    826.59x = 616,553.62
  5. Step 5: Solve for x
    x = 616,553.62/826.59
  6. Step 6: Final answer
    x = 745.90

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