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Finding the Fourth Proportional to 1,388.38, 2,082.66 and 463.90

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Solution

The fourth proportional to 1,388.38, 2,082.66 and 463.90 is: 695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.38 : 2,082.66 = 463.90 : x
  2. Step 2: Convert to fraction form
    1,388.38/2,082.66 = 463.90/x
  3. Step 3: Cross multiply
    1,388.38x = 2,082.66 × 463.90
  4. Step 4: Simplify right side
    1,388.38x = 966,145.97
  5. Step 5: Solve for x
    x = 966,145.97/1,388.38
  6. Step 6: Final answer
    x = 695.88

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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.