Home / 1,031.06-1,546.22-414.60

Finding the Fourth Proportional to 1,031.06, 1,546.22 and 414.60

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Solution

The fourth proportional to 1,031.06, 1,546.22 and 414.60 is: 621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.06 : 1,546.22 = 414.60 : x
  2. Step 2: Convert to fraction form
    1,031.06/1,546.22 = 414.60/x
  3. Step 3: Cross multiply
    1,031.06x = 1,546.22 × 414.60
  4. Step 4: Simplify right side
    1,031.06x = 641,060.74
  5. Step 5: Solve for x
    x = 641,060.74/1,031.06
  6. Step 6: Final answer
    x = 621.75

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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.