Home / 1,031.20-1,546.49-414.79

Finding the Fourth Proportional to 1,031.20, 1,546.49 and 414.79

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Solution

The fourth proportional to 1,031.20, 1,546.49 and 414.79 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.20 : 1,546.49 = 414.79 : x
  2. Step 2: Convert to fraction form
    1,031.20/1,546.49 = 414.79/x
  3. Step 3: Cross multiply
    1,031.20x = 1,546.49 × 414.79
  4. Step 4: Simplify right side
    1,031.20x = 641,465.76
  5. Step 5: Solve for x
    x = 641,465.76/1,031.20
  6. Step 6: Final answer
    x = 622.06

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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.