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Finding the Fourth Proportional to 1,232.10, 1,848.95 and 793.31

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Solution

The fourth proportional to 1,232.10, 1,848.95 and 793.31 is: 1,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.10 : 1,848.95 = 793.31 : x
  2. Step 2: Convert to fraction form
    1,232.10/1,848.95 = 793.31/x
  3. Step 3: Cross multiply
    1,232.10x = 1,848.95 × 793.31
  4. Step 4: Simplify right side
    1,232.10x = 1,466,777.31
  5. Step 5: Solve for x
    x = 1,466,777.31/1,232.10
  6. Step 6: Final answer
    x = 1,190.47

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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.