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Finding the Fourth Proportional to 732.22, 1,097.10 and 515.41

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Solution

The fourth proportional to 732.22, 1,097.10 and 515.41 is: 772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.22 : 1,097.10 = 515.41 : x
  2. Step 2: Convert to fraction form
    732.22/1,097.10 = 515.41/x
  3. Step 3: Cross multiply
    732.22x = 1,097.10 × 515.41
  4. Step 4: Simplify right side
    732.22x = 565,453.73
  5. Step 5: Solve for x
    x = 565,453.73/732.22
  6. Step 6: Final answer
    x = 772.25

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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.