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Finding the Fourth Proportional to 1,594.49, 2,391.87 and 440.24

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Solution

The fourth proportional to 1,594.49, 2,391.87 and 440.24 is: 660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.49 : 2,391.87 = 440.24 : x
  2. Step 2: Convert to fraction form
    1,594.49/2,391.87 = 440.24/x
  3. Step 3: Cross multiply
    1,594.49x = 2,391.87 × 440.24
  4. Step 4: Simplify right side
    1,594.49x = 1,052,982.69
  5. Step 5: Solve for x
    x = 1,052,982.69/1,594.49
  6. Step 6: Final answer
    x = 660.39

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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.