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Finding the Fourth Proportional to 821.88, 1,232.21 and 497.17

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Solution

The fourth proportional to 821.88, 1,232.21 and 497.17 is: 745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.88 : 1,232.21 = 497.17 : x
  2. Step 2: Convert to fraction form
    821.88/1,232.21 = 497.17/x
  3. Step 3: Cross multiply
    821.88x = 1,232.21 × 497.17
  4. Step 4: Simplify right side
    821.88x = 612,615.36
  5. Step 5: Solve for x
    x = 612,615.36/821.88
  6. Step 6: Final answer
    x = 745.39

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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.