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Finding the Fourth Proportional to 1,600.29, 2,399.84 and 559.99

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Solution

The fourth proportional to 1,600.29, 2,399.84 and 559.99 is: 839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.29 : 2,399.84 = 559.99 : x
  2. Step 2: Convert to fraction form
    1,600.29/2,399.84 = 559.99/x
  3. Step 3: Cross multiply
    1,600.29x = 2,399.84 × 559.99
  4. Step 4: Simplify right side
    1,600.29x = 1,343,888.70
  5. Step 5: Solve for x
    x = 1,343,888.70/1,600.29
  6. Step 6: Final answer
    x = 839.78

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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.