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Finding the Fourth Proportional to 712.28, 1,067.40 and 403.67

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Solution

The fourth proportional to 712.28, 1,067.40 and 403.67 is: 604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.28 : 1,067.40 = 403.67 : x
  2. Step 2: Convert to fraction form
    712.28/1,067.40 = 403.67/x
  3. Step 3: Cross multiply
    712.28x = 1,067.40 × 403.67
  4. Step 4: Simplify right side
    712.28x = 430,872.02
  5. Step 5: Solve for x
    x = 430,872.02/712.28
  6. Step 6: Final answer
    x = 604.92

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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.