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Finding the Fourth Proportional to 798.45, 1,196.86 and 310.83

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Solution

The fourth proportional to 798.45, 1,196.86 and 310.83 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.45 : 1,196.86 = 310.83 : x
  2. Step 2: Convert to fraction form
    798.45/1,196.86 = 310.83/x
  3. Step 3: Cross multiply
    798.45x = 1,196.86 × 310.83
  4. Step 4: Simplify right side
    798.45x = 372,019.99
  5. Step 5: Solve for x
    x = 372,019.99/798.45
  6. Step 6: Final answer
    x = 465.93

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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.