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Finding the Fourth Proportional to 1,399.20, 2,098.78 and 373.20

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Solution

The fourth proportional to 1,399.20, 2,098.78 and 373.20 is: 559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.20 : 2,098.78 = 373.20 : x
  2. Step 2: Convert to fraction form
    1,399.20/2,098.78 = 373.20/x
  3. Step 3: Cross multiply
    1,399.20x = 2,098.78 × 373.20
  4. Step 4: Simplify right side
    1,399.20x = 783,264.70
  5. Step 5: Solve for x
    x = 783,264.70/1,399.20
  6. Step 6: Final answer
    x = 559.79

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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.