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Finding the Fourth Proportional to 731.43, 1,096.20 and 456.84

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Solution

The fourth proportional to 731.43, 1,096.20 and 456.84 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.43 : 1,096.20 = 456.84 : x
  2. Step 2: Convert to fraction form
    731.43/1,096.20 = 456.84/x
  3. Step 3: Cross multiply
    731.43x = 1,096.20 × 456.84
  4. Step 4: Simplify right side
    731.43x = 500,788.01
  5. Step 5: Solve for x
    x = 500,788.01/731.43
  6. Step 6: Final answer
    x = 684.67

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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.