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Finding the Fourth Proportional to 1,271.95, 1,908.19 and 439.08

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Solution

The fourth proportional to 1,271.95, 1,908.19 and 439.08 is: 658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.95 : 1,908.19 = 439.08 : x
  2. Step 2: Convert to fraction form
    1,271.95/1,908.19 = 439.08/x
  3. Step 3: Cross multiply
    1,271.95x = 1,908.19 × 439.08
  4. Step 4: Simplify right side
    1,271.95x = 837,846.97
  5. Step 5: Solve for x
    x = 837,846.97/1,271.95
  6. Step 6: Final answer
    x = 658.71

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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.