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Finding the Fourth Proportional to 1,424.75, 2,138.34 and 559.67

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Solution

The fourth proportional to 1,424.75, 2,138.34 and 559.67 is: 839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.75 : 2,138.34 = 559.67 : x
  2. Step 2: Convert to fraction form
    1,424.75/2,138.34 = 559.67/x
  3. Step 3: Cross multiply
    1,424.75x = 2,138.34 × 559.67
  4. Step 4: Simplify right side
    1,424.75x = 1,196,764.75
  5. Step 5: Solve for x
    x = 1,196,764.75/1,424.75
  6. Step 6: Final answer
    x = 839.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.