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Finding the Fourth Proportional to 1,023.44, 1,534.34 and 329.67

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Solution

The fourth proportional to 1,023.44, 1,534.34 and 329.67 is: 494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.44 : 1,534.34 = 329.67 : x
  2. Step 2: Convert to fraction form
    1,023.44/1,534.34 = 329.67/x
  3. Step 3: Cross multiply
    1,023.44x = 1,534.34 × 329.67
  4. Step 4: Simplify right side
    1,023.44x = 505,826.69
  5. Step 5: Solve for x
    x = 505,826.69/1,023.44
  6. Step 6: Final answer
    x = 494.24

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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.