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Finding the Fourth Proportional to 1,196.32, 1,648.92 and 946.48

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Solution

The fourth proportional to 1,196.32, 1,648.92 and 946.48 is: 1,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.32 : 1,648.92 = 946.48 : x
  2. Step 2: Convert to fraction form
    1,196.32/1,648.92 = 946.48/x
  3. Step 3: Cross multiply
    1,196.32x = 1,648.92 × 946.48
  4. Step 4: Simplify right side
    1,196.32x = 1,560,669.80
  5. Step 5: Solve for x
    x = 1,560,669.80/1,196.32
  6. Step 6: Final answer
    x = 1,304.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.