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Finding the Fourth Proportional to 731.64, 1,097.06 and 443.28

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Solution

The fourth proportional to 731.64, 1,097.06 and 443.28 is: 664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.64 : 1,097.06 = 443.28 : x
  2. Step 2: Convert to fraction form
    731.64/1,097.06 = 443.28/x
  3. Step 3: Cross multiply
    731.64x = 1,097.06 × 443.28
  4. Step 4: Simplify right side
    731.64x = 486,302.54
  5. Step 5: Solve for x
    x = 486,302.54/731.64
  6. Step 6: Final answer
    x = 664.67

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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.