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Finding the Fourth Proportional to 1,384, 2,078.06 and 563.87

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Solution

The fourth proportional to 1,384, 2,078.06 and 563.87 is: 846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384 : 2,078.06 = 563.87 : x
  2. Step 2: Convert to fraction form
    1,384/2,078.06 = 563.87/x
  3. Step 3: Cross multiply
    1,384x = 2,078.06 × 563.87
  4. Step 4: Simplify right side
    1,384x = 1,171,755.69
  5. Step 5: Solve for x
    x = 1,171,755.69/1,384
  6. Step 6: Final answer
    x = 846.64

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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.