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Finding the Fourth Proportional to 798.65, 1,198.15 and 278.67

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Solution

The fourth proportional to 798.65, 1,198.15 and 278.67 is: 418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.65 : 1,198.15 = 278.67 : x
  2. Step 2: Convert to fraction form
    798.65/1,198.15 = 278.67/x
  3. Step 3: Cross multiply
    798.65x = 1,198.15 × 278.67
  4. Step 4: Simplify right side
    798.65x = 333,893.82
  5. Step 5: Solve for x
    x = 333,893.82/798.65
  6. Step 6: Final answer
    x = 418.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.