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Finding the Fourth Proportional to 1,594.40, 2,391.42 and 440

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Solution

The fourth proportional to 1,594.40, 2,391.42 and 440 is: 659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.40 : 2,391.42 = 440 : x
  2. Step 2: Convert to fraction form
    1,594.40/2,391.42 = 440/x
  3. Step 3: Cross multiply
    1,594.40x = 2,391.42 × 440
  4. Step 4: Simplify right side
    1,594.40x = 1,052,224.80
  5. Step 5: Solve for x
    x = 1,052,224.80/1,594.40
  6. Step 6: Final answer
    x = 659.95

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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.