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Finding the Fourth Proportional to 1,463.30, 2,190.68 and 768.32

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Solution

The fourth proportional to 1,463.30, 2,190.68 and 768.32 is: 1,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.30 : 2,190.68 = 768.32 : x
  2. Step 2: Convert to fraction form
    1,463.30/2,190.68 = 768.32/x
  3. Step 3: Cross multiply
    1,463.30x = 2,190.68 × 768.32
  4. Step 4: Simplify right side
    1,463.30x = 1,683,143.26
  5. Step 5: Solve for x
    x = 1,683,143.26/1,463.30
  6. Step 6: Final answer
    x = 1,150.24

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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.