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Finding the Fourth Proportional to 1,023.38, 1,534.96 and 475.21

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Solution

The fourth proportional to 1,023.38, 1,534.96 and 475.21 is: 712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.38 : 1,534.96 = 475.21 : x
  2. Step 2: Convert to fraction form
    1,023.38/1,534.96 = 475.21/x
  3. Step 3: Cross multiply
    1,023.38x = 1,534.96 × 475.21
  4. Step 4: Simplify right side
    1,023.38x = 729,423.32
  5. Step 5: Solve for x
    x = 729,423.32/1,023.38
  6. Step 6: Final answer
    x = 712.76

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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.