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Finding the Fourth Proportional to 798.14, 1,196.79 and 250.18

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Solution

The fourth proportional to 798.14, 1,196.79 and 250.18 is: 375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.14 : 1,196.79 = 250.18 : x
  2. Step 2: Convert to fraction form
    798.14/1,196.79 = 250.18/x
  3. Step 3: Cross multiply
    798.14x = 1,196.79 × 250.18
  4. Step 4: Simplify right side
    798.14x = 299,412.92
  5. Step 5: Solve for x
    x = 299,412.92/798.14
  6. Step 6: Final answer
    x = 375.14

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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.