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Finding the Fourth Proportional to 798.62, 1,197.87 and 505.27

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Solution

The fourth proportional to 798.62, 1,197.87 and 505.27 is: 757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.62 : 1,197.87 = 505.27 : x
  2. Step 2: Convert to fraction form
    798.62/1,197.87 = 505.27/x
  3. Step 3: Cross multiply
    798.62x = 1,197.87 × 505.27
  4. Step 4: Simplify right side
    798.62x = 605,239.26
  5. Step 5: Solve for x
    x = 605,239.26/798.62
  6. Step 6: Final answer
    x = 757.86

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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.