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Finding the Fourth Proportional to 732.84, 1,098.93 and 270.54

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Solution

The fourth proportional to 732.84, 1,098.93 and 270.54 is: 405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.84 : 1,098.93 = 270.54 : x
  2. Step 2: Convert to fraction form
    732.84/1,098.93 = 270.54/x
  3. Step 3: Cross multiply
    732.84x = 1,098.93 × 270.54
  4. Step 4: Simplify right side
    732.84x = 297,304.52
  5. Step 5: Solve for x
    x = 297,304.52/732.84
  6. Step 6: Final answer
    x = 405.69

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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.