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Finding the Fourth Proportional to 1,383.87, 1,909.03 and 858.99

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Solution

The fourth proportional to 1,383.87, 1,909.03 and 858.99 is: 1,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.87 : 1,909.03 = 858.99 : x
  2. Step 2: Convert to fraction form
    1,383.87/1,909.03 = 858.99/x
  3. Step 3: Cross multiply
    1,383.87x = 1,909.03 × 858.99
  4. Step 4: Simplify right side
    1,383.87x = 1,639,837.68
  5. Step 5: Solve for x
    x = 1,639,837.68/1,383.87
  6. Step 6: Final answer
    x = 1,184.97

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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.