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Finding the Fourth Proportional to 1,388.17, 2,082.57 and 463.83

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Solution

The fourth proportional to 1,388.17, 2,082.57 and 463.83 is: 695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.17 : 2,082.57 = 463.83 : x
  2. Step 2: Convert to fraction form
    1,388.17/2,082.57 = 463.83/x
  3. Step 3: Cross multiply
    1,388.17x = 2,082.57 × 463.83
  4. Step 4: Simplify right side
    1,388.17x = 965,958.44
  5. Step 5: Solve for x
    x = 965,958.44/1,388.17
  6. Step 6: Final answer
    x = 695.85

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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.