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Finding the Fourth Proportional to 1,399.54, 2,100.72 and 578.30

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Solution

The fourth proportional to 1,399.54, 2,100.72 and 578.30 is: 868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.54 : 2,100.72 = 578.30 : x
  2. Step 2: Convert to fraction form
    1,399.54/2,100.72 = 578.30/x
  3. Step 3: Cross multiply
    1,399.54x = 2,100.72 × 578.30
  4. Step 4: Simplify right side
    1,399.54x = 1,214,846.38
  5. Step 5: Solve for x
    x = 1,214,846.38/1,399.54
  6. Step 6: Final answer
    x = 868.03

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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.