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Finding the Fourth Proportional to 1,424.15, 1,964.52 and 899.27

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Solution

The fourth proportional to 1,424.15, 1,964.52 and 899.27 is: 1,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.15 : 1,964.52 = 899.27 : x
  2. Step 2: Convert to fraction form
    1,424.15/1,964.52 = 899.27/x
  3. Step 3: Cross multiply
    1,424.15x = 1,964.52 × 899.27
  4. Step 4: Simplify right side
    1,424.15x = 1,766,633.90
  5. Step 5: Solve for x
    x = 1,766,633.90/1,424.15
  6. Step 6: Final answer
    x = 1,240.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.