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Finding the Fourth Proportional to 1,399.04, 2,098.41 and 474.57

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Solution

The fourth proportional to 1,399.04, 2,098.41 and 474.57 is: 711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.04 : 2,098.41 = 474.57 : x
  2. Step 2: Convert to fraction form
    1,399.04/2,098.41 = 474.57/x
  3. Step 3: Cross multiply
    1,399.04x = 2,098.41 × 474.57
  4. Step 4: Simplify right side
    1,399.04x = 995,842.43
  5. Step 5: Solve for x
    x = 995,842.43/1,399.04
  6. Step 6: Final answer
    x = 711.80

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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.