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Finding the Fourth Proportional to 1,388.30, 2,082.71 and 463.77

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Solution

The fourth proportional to 1,388.30, 2,082.71 and 463.77 is: 695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.30 : 2,082.71 = 463.77 : x
  2. Step 2: Convert to fraction form
    1,388.30/2,082.71 = 463.77/x
  3. Step 3: Cross multiply
    1,388.30x = 2,082.71 × 463.77
  4. Step 4: Simplify right side
    1,388.30x = 965,898.42
  5. Step 5: Solve for x
    x = 965,898.42/1,388.30
  6. Step 6: Final answer
    x = 695.74

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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.