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Finding the Fourth Proportional to 732.26, 1,098.73 and 367.30

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Solution

The fourth proportional to 732.26, 1,098.73 and 367.30 is: 551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.26 : 1,098.73 = 367.30 : x
  2. Step 2: Convert to fraction form
    732.26/1,098.73 = 367.30/x
  3. Step 3: Cross multiply
    732.26x = 1,098.73 × 367.30
  4. Step 4: Simplify right side
    732.26x = 403,559.86
  5. Step 5: Solve for x
    x = 403,559.86/732.26
  6. Step 6: Final answer
    x = 551.12

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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.