Home / 1,032.14-1,548.29-301.79

Finding the Fourth Proportional to 1,032.14, 1,548.29 and 301.79

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Solution

The fourth proportional to 1,032.14, 1,548.29 and 301.79 is: 452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.14 : 1,548.29 = 301.79 : x
  2. Step 2: Convert to fraction form
    1,032.14/1,548.29 = 301.79/x
  3. Step 3: Cross multiply
    1,032.14x = 1,548.29 × 301.79
  4. Step 4: Simplify right side
    1,032.14x = 467,251.45
  5. Step 5: Solve for x
    x = 467,251.45/1,032.14
  6. Step 6: Final answer
    x = 452.70

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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.