Home / 1,032.12-1,546.92-722.28

Finding the Fourth Proportional to 1,032.12, 1,546.92 and 722.28

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Solution

The fourth proportional to 1,032.12, 1,546.92 and 722.28 is: 1,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.12 : 1,546.92 = 722.28 : x
  2. Step 2: Convert to fraction form
    1,032.12/1,546.92 = 722.28/x
  3. Step 3: Cross multiply
    1,032.12x = 1,546.92 × 722.28
  4. Step 4: Simplify right side
    1,032.12x = 1,117,309.38
  5. Step 5: Solve for x
    x = 1,117,309.38/1,032.12
  6. Step 6: Final answer
    x = 1,082.54

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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.