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Finding the Fourth Proportional to 732.51, 1,098.09 and 321.35

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Solution

The fourth proportional to 732.51, 1,098.09 and 321.35 is: 481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.51 : 1,098.09 = 321.35 : x
  2. Step 2: Convert to fraction form
    732.51/1,098.09 = 321.35/x
  3. Step 3: Cross multiply
    732.51x = 1,098.09 × 321.35
  4. Step 4: Simplify right side
    732.51x = 352,865.73
  5. Step 5: Solve for x
    x = 352,865.73/732.51
  6. Step 6: Final answer
    x = 481.72

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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.