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Finding the Fourth Proportional to 1,023.64, 1,534.34 and 475.34

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Solution

The fourth proportional to 1,023.64, 1,534.34 and 475.34 is: 712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.64 : 1,534.34 = 475.34 : x
  2. Step 2: Convert to fraction form
    1,023.64/1,534.34 = 475.34/x
  3. Step 3: Cross multiply
    1,023.64x = 1,534.34 × 475.34
  4. Step 4: Simplify right side
    1,023.64x = 729,326.69
  5. Step 5: Solve for x
    x = 729,326.69/1,023.64
  6. Step 6: Final answer
    x = 712.49

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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.