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Finding the Fourth Proportional to 1,196.52, 1,793.04 and 964.14

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Solution

The fourth proportional to 1,196.52, 1,793.04 and 964.14 is: 1,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.52 : 1,793.04 = 964.14 : x
  2. Step 2: Convert to fraction form
    1,196.52/1,793.04 = 964.14/x
  3. Step 3: Cross multiply
    1,196.52x = 1,793.04 × 964.14
  4. Step 4: Simplify right side
    1,196.52x = 1,728,741.59
  5. Step 5: Solve for x
    x = 1,728,741.59/1,196.52
  6. Step 6: Final answer
    x = 1,444.81

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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.