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Finding the Fourth Proportional to 1,384.34, 1,906.94 and 963.95

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Solution

The fourth proportional to 1,384.34, 1,906.94 and 963.95 is: 1,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.34 : 1,906.94 = 963.95 : x
  2. Step 2: Convert to fraction form
    1,384.34/1,906.94 = 963.95/x
  3. Step 3: Cross multiply
    1,384.34x = 1,906.94 × 963.95
  4. Step 4: Simplify right side
    1,384.34x = 1,838,198.41
  5. Step 5: Solve for x
    x = 1,838,198.41/1,384.34
  6. Step 6: Final answer
    x = 1,327.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.