Home / 1,031.20-1,546.72-446.17

Finding the Fourth Proportional to 1,031.20, 1,546.72 and 446.17

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Solution

The fourth proportional to 1,031.20, 1,546.72 and 446.17 is: 669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.20 : 1,546.72 = 446.17 : x
  2. Step 2: Convert to fraction form
    1,031.20/1,546.72 = 446.17/x
  3. Step 3: Cross multiply
    1,031.20x = 1,546.72 × 446.17
  4. Step 4: Simplify right side
    1,031.20x = 690,100.06
  5. Step 5: Solve for x
    x = 690,100.06/1,031.20
  6. Step 6: Final answer
    x = 669.22

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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.