Home / 1,032.18-1,546.97-446.48

Finding the Fourth Proportional to 1,032.18, 1,546.97 and 446.48

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Solution

The fourth proportional to 1,032.18, 1,546.97 and 446.48 is: 669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.18 : 1,546.97 = 446.48 : x
  2. Step 2: Convert to fraction form
    1,032.18/1,546.97 = 446.48/x
  3. Step 3: Cross multiply
    1,032.18x = 1,546.97 × 446.48
  4. Step 4: Simplify right side
    1,032.18x = 690,691.17
  5. Step 5: Solve for x
    x = 690,691.17/1,032.18
  6. Step 6: Final answer
    x = 669.16

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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.