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Finding the Fourth Proportional to 732.93, 1,098.53 and 270.41

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Solution

The fourth proportional to 732.93, 1,098.53 and 270.41 is: 405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.93 : 1,098.53 = 270.41 : x
  2. Step 2: Convert to fraction form
    732.93/1,098.53 = 270.41/x
  3. Step 3: Cross multiply
    732.93x = 1,098.53 × 270.41
  4. Step 4: Simplify right side
    732.93x = 297,047.67
  5. Step 5: Solve for x
    x = 297,047.67/732.93
  6. Step 6: Final answer
    x = 405.29

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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.