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Finding the Fourth Proportional to 1,399.19, 2,099.15 and 425.31

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Solution

The fourth proportional to 1,399.19, 2,099.15 and 425.31 is: 638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.19 : 2,099.15 = 425.31 : x
  2. Step 2: Convert to fraction form
    1,399.19/2,099.15 = 425.31/x
  3. Step 3: Cross multiply
    1,399.19x = 2,099.15 × 425.31
  4. Step 4: Simplify right side
    1,399.19x = 892,787.36
  5. Step 5: Solve for x
    x = 892,787.36/1,399.19
  6. Step 6: Final answer
    x = 638.08

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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.