Home / 1,031.31-1,546.29-381.69

Finding the Fourth Proportional to 1,031.31, 1,546.29 and 381.69

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Solution

The fourth proportional to 1,031.31, 1,546.29 and 381.69 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.31 : 1,546.29 = 381.69 : x
  2. Step 2: Convert to fraction form
    1,031.31/1,546.29 = 381.69/x
  3. Step 3: Cross multiply
    1,031.31x = 1,546.29 × 381.69
  4. Step 4: Simplify right side
    1,031.31x = 590,203.43
  5. Step 5: Solve for x
    x = 590,203.43/1,031.31
  6. Step 6: Final answer
    x = 572.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.