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Finding the Fourth Proportional to 1,196.40, 1,794.45 and 318.97

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Solution

The fourth proportional to 1,196.40, 1,794.45 and 318.97 is: 478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.40 : 1,794.45 = 318.97 : x
  2. Step 2: Convert to fraction form
    1,196.40/1,794.45 = 318.97/x
  3. Step 3: Cross multiply
    1,196.40x = 1,794.45 × 318.97
  4. Step 4: Simplify right side
    1,196.40x = 572,369.36
  5. Step 5: Solve for x
    x = 572,369.36/1,196.40
  6. Step 6: Final answer
    x = 478.41

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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.