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Finding the Fourth Proportional to 1,399.41, 1,931.04 and 1,005.75

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Solution

The fourth proportional to 1,399.41, 1,931.04 and 1,005.75 is: 1,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.41 : 1,931.04 = 1,005.75 : x
  2. Step 2: Convert to fraction form
    1,399.41/1,931.04 = 1,005.75/x
  3. Step 3: Cross multiply
    1,399.41x = 1,931.04 × 1,005.75
  4. Step 4: Simplify right side
    1,399.41x = 1,942,143.48
  5. Step 5: Solve for x
    x = 1,942,143.48/1,399.41
  6. Step 6: Final answer
    x = 1,387.83

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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.