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Finding the Fourth Proportional to 798.78, 1,198.14 and 312.06

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Solution

The fourth proportional to 798.78, 1,198.14 and 312.06 is: 468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.78 : 1,198.14 = 312.06 : x
  2. Step 2: Convert to fraction form
    798.78/1,198.14 = 312.06/x
  3. Step 3: Cross multiply
    798.78x = 1,198.14 × 312.06
  4. Step 4: Simplify right side
    798.78x = 373,891.57
  5. Step 5: Solve for x
    x = 373,891.57/798.78
  6. Step 6: Final answer
    x = 468.08

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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.