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Finding the Fourth Proportional to 1,196.02, 1,794.17 and 318.56

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Solution

The fourth proportional to 1,196.02, 1,794.17 and 318.56 is: 477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.02 : 1,794.17 = 318.56 : x
  2. Step 2: Convert to fraction form
    1,196.02/1,794.17 = 318.56/x
  3. Step 3: Cross multiply
    1,196.02x = 1,794.17 × 318.56
  4. Step 4: Simplify right side
    1,196.02x = 571,552.71
  5. Step 5: Solve for x
    x = 571,552.71/1,196.02
  6. Step 6: Final answer
    x = 477.88

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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.