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Finding the Fourth Proportional to 1,023.42, 1,535.22 and 329.82

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Solution

The fourth proportional to 1,023.42, 1,535.22 and 329.82 is: 494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.42 : 1,535.22 = 329.82 : x
  2. Step 2: Convert to fraction form
    1,023.42/1,535.22 = 329.82/x
  3. Step 3: Cross multiply
    1,023.42x = 1,535.22 × 329.82
  4. Step 4: Simplify right side
    1,023.42x = 506,346.26
  5. Step 5: Solve for x
    x = 506,346.26/1,023.42
  6. Step 6: Final answer
    x = 494.76

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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.