Home / 1,032.38-1,548.57-301.96

Finding the Fourth Proportional to 1,032.38, 1,548.57 and 301.96

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Solution

The fourth proportional to 1,032.38, 1,548.57 and 301.96 is: 452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.38 : 1,548.57 = 301.96 : x
  2. Step 2: Convert to fraction form
    1,032.38/1,548.57 = 301.96/x
  3. Step 3: Cross multiply
    1,032.38x = 1,548.57 × 301.96
  4. Step 4: Simplify right side
    1,032.38x = 467,604.69
  5. Step 5: Solve for x
    x = 467,604.69/1,032.38
  6. Step 6: Final answer
    x = 452.94

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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.