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Finding the Fourth Proportional to 1,271.11, 1,905.99 and 448.78

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Solution

The fourth proportional to 1,271.11, 1,905.99 and 448.78 is: 672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.11 : 1,905.99 = 448.78 : x
  2. Step 2: Convert to fraction form
    1,271.11/1,905.99 = 448.78/x
  3. Step 3: Cross multiply
    1,271.11x = 1,905.99 × 448.78
  4. Step 4: Simplify right side
    1,271.11x = 855,370.19
  5. Step 5: Solve for x
    x = 855,370.19/1,271.11
  6. Step 6: Final answer
    x = 672.93

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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.