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Finding the Fourth Proportional to 798.48, 1,197.09 and 408.06

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Solution

The fourth proportional to 798.48, 1,197.09 and 408.06 is: 611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.48 : 1,197.09 = 408.06 : x
  2. Step 2: Convert to fraction form
    798.48/1,197.09 = 408.06/x
  3. Step 3: Cross multiply
    798.48x = 1,197.09 × 408.06
  4. Step 4: Simplify right side
    798.48x = 488,484.55
  5. Step 5: Solve for x
    x = 488,484.55/798.48
  6. Step 6: Final answer
    x = 611.77

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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.