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Finding the Fourth Proportional to 1,594.13, 2,391.32 and 439.88

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Solution

The fourth proportional to 1,594.13, 2,391.32 and 439.88 is: 659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.13 : 2,391.32 = 439.88 : x
  2. Step 2: Convert to fraction form
    1,594.13/2,391.32 = 439.88/x
  3. Step 3: Cross multiply
    1,594.13x = 2,391.32 × 439.88
  4. Step 4: Simplify right side
    1,594.13x = 1,051,882.98
  5. Step 5: Solve for x
    x = 1,051,882.98/1,594.13
  6. Step 6: Final answer
    x = 659.85

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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.