Home / 1,031.06-1,546.29-300.47

Finding the Fourth Proportional to 1,031.06, 1,546.29 and 300.47

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Solution

The fourth proportional to 1,031.06, 1,546.29 and 300.47 is: 450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.06 : 1,546.29 = 300.47 : x
  2. Step 2: Convert to fraction form
    1,031.06/1,546.29 = 300.47/x
  3. Step 3: Cross multiply
    1,031.06x = 1,546.29 × 300.47
  4. Step 4: Simplify right side
    1,031.06x = 464,606.02
  5. Step 5: Solve for x
    x = 464,606.02/1,031.06
  6. Step 6: Final answer
    x = 450.61

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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.