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Finding the Fourth Proportional to 1,599.81, 2,399.82 and 559.70

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Solution

The fourth proportional to 1,599.81, 2,399.82 and 559.70 is: 839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.81 : 2,399.82 = 559.70 : x
  2. Step 2: Convert to fraction form
    1,599.81/2,399.82 = 559.70/x
  3. Step 3: Cross multiply
    1,599.81x = 2,399.82 × 559.70
  4. Step 4: Simplify right side
    1,599.81x = 1,343,179.25
  5. Step 5: Solve for x
    x = 1,343,179.25/1,599.81
  6. Step 6: Final answer
    x = 839.59

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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.