Home / 1,031.27-1,546.70-414.65

Finding the Fourth Proportional to 1,031.27, 1,546.70 and 414.65

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Solution

The fourth proportional to 1,031.27, 1,546.70 and 414.65 is: 621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.27 : 1,546.70 = 414.65 : x
  2. Step 2: Convert to fraction form
    1,031.27/1,546.70 = 414.65/x
  3. Step 3: Cross multiply
    1,031.27x = 1,546.70 × 414.65
  4. Step 4: Simplify right side
    1,031.27x = 641,340.95
  5. Step 5: Solve for x
    x = 641,340.95/1,031.27
  6. Step 6: Final answer
    x = 621.90

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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.