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Finding the Fourth Proportional to 732.96, 1,099.48 and 270.88

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Solution

The fourth proportional to 732.96, 1,099.48 and 270.88 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.96 : 1,099.48 = 270.88 : x
  2. Step 2: Convert to fraction form
    732.96/1,099.48 = 270.88/x
  3. Step 3: Cross multiply
    732.96x = 1,099.48 × 270.88
  4. Step 4: Simplify right side
    732.96x = 297,827.14
  5. Step 5: Solve for x
    x = 297,827.14/732.96
  6. Step 6: Final answer
    x = 406.33

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1.5x scale

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.