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Finding the Fourth Proportional to 1,598.05, 2,399.44 and 984.33

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Solution

The fourth proportional to 1,598.05, 2,399.44 and 984.33 is: 1,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.05 : 2,399.44 = 984.33 : x
  2. Step 2: Convert to fraction form
    1,598.05/2,399.44 = 984.33/x
  3. Step 3: Cross multiply
    1,598.05x = 2,399.44 × 984.33
  4. Step 4: Simplify right side
    1,598.05x = 2,361,840.78
  5. Step 5: Solve for x
    x = 2,361,840.78/1,598.05
  6. Step 6: Final answer
    x = 1,477.95

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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.