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Finding the Fourth Proportional to 1,399.87, 1,932.62 and 903.24

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Solution

The fourth proportional to 1,399.87, 1,932.62 and 903.24 is: 1,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.87 : 1,932.62 = 903.24 : x
  2. Step 2: Convert to fraction form
    1,399.87/1,932.62 = 903.24/x
  3. Step 3: Cross multiply
    1,399.87x = 1,932.62 × 903.24
  4. Step 4: Simplify right side
    1,399.87x = 1,745,619.69
  5. Step 5: Solve for x
    x = 1,745,619.69/1,399.87
  6. Step 6: Final answer
    x = 1,246.99

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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.