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Finding the Fourth Proportional to 1,232.16, 1,848.72 and 684.96

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Solution

The fourth proportional to 1,232.16, 1,848.72 and 684.96 is: 1,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.16 : 1,848.72 = 684.96 : x
  2. Step 2: Convert to fraction form
    1,232.16/1,848.72 = 684.96/x
  3. Step 3: Cross multiply
    1,232.16x = 1,848.72 × 684.96
  4. Step 4: Simplify right side
    1,232.16x = 1,266,299.25
  5. Step 5: Solve for x
    x = 1,266,299.25/1,232.16
  6. Step 6: Final answer
    x = 1,027.71

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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.