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Finding the Fourth Proportional to 798.85, 1,198.71 and 305.59

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Solution

The fourth proportional to 798.85, 1,198.71 and 305.59 is: 458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.85 : 1,198.71 = 305.59 : x
  2. Step 2: Convert to fraction form
    798.85/1,198.71 = 305.59/x
  3. Step 3: Cross multiply
    798.85x = 1,198.71 × 305.59
  4. Step 4: Simplify right side
    798.85x = 366,313.79
  5. Step 5: Solve for x
    x = 366,313.79/798.85
  6. Step 6: Final answer
    x = 458.55

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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.