Home / 1,388.10-2,082.10-566.14

Finding the Fourth Proportional to 1,388.10, 2,082.10 and 566.14

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Solution

The fourth proportional to 1,388.10, 2,082.10 and 566.14 is: 849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.10 : 2,082.10 = 566.14 : x
  2. Step 2: Convert to fraction form
    1,388.10/2,082.10 = 566.14/x
  3. Step 3: Cross multiply
    1,388.10x = 2,082.10 × 566.14
  4. Step 4: Simplify right side
    1,388.10x = 1,178,760.09
  5. Step 5: Solve for x
    x = 1,178,760.09/1,388.10
  6. Step 6: Final answer
    x = 849.19

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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.