Home / 1,082.28-1,623.48-389.02

Finding the Fourth Proportional to 1,082.28, 1,623.48 and 389.02

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Solution

The fourth proportional to 1,082.28, 1,623.48 and 389.02 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.28 : 1,623.48 = 389.02 : x
  2. Step 2: Convert to fraction form
    1,082.28/1,623.48 = 389.02/x
  3. Step 3: Cross multiply
    1,082.28x = 1,623.48 × 389.02
  4. Step 4: Simplify right side
    1,082.28x = 631,562.13
  5. Step 5: Solve for x
    x = 631,562.13/1,082.28
  6. Step 6: Final answer
    x = 583.55

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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.