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Finding the Fourth Proportional to 731.96, 1,096.96 and 403.04

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Solution

The fourth proportional to 731.96, 1,096.96 and 403.04 is: 604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.96 : 1,096.96 = 403.04 : x
  2. Step 2: Convert to fraction form
    731.96/1,096.96 = 403.04/x
  3. Step 3: Cross multiply
    731.96x = 1,096.96 × 403.04
  4. Step 4: Simplify right side
    731.96x = 442,118.76
  5. Step 5: Solve for x
    x = 442,118.76/731.96
  6. Step 6: Final answer
    x = 604.02

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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.