Home / 1,031.06-1,546.64-300.70

Finding the Fourth Proportional to 1,031.06, 1,546.64 and 300.70

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Solution

The fourth proportional to 1,031.06, 1,546.64 and 300.70 is: 451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.06 : 1,546.64 = 300.70 : x
  2. Step 2: Convert to fraction form
    1,031.06/1,546.64 = 300.70/x
  3. Step 3: Cross multiply
    1,031.06x = 1,546.64 × 300.70
  4. Step 4: Simplify right side
    1,031.06x = 465,076.21
  5. Step 5: Solve for x
    x = 465,076.21/1,031.06
  6. Step 6: Final answer
    x = 451.06

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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.