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Finding the Fourth Proportional to 1,599.41, 2,398.57 and 611.99

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Solution

The fourth proportional to 1,599.41, 2,398.57 and 611.99 is: 917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.41 : 2,398.57 = 611.99 : x
  2. Step 2: Convert to fraction form
    1,599.41/2,398.57 = 611.99/x
  3. Step 3: Cross multiply
    1,599.41x = 2,398.57 × 611.99
  4. Step 4: Simplify right side
    1,599.41x = 1,467,900.87
  5. Step 5: Solve for x
    x = 1,467,900.87/1,599.41
  6. Step 6: Final answer
    x = 917.78

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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.