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Finding the Fourth Proportional to 797.92, 1,197.18 and 277.98

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Solution

The fourth proportional to 797.92, 1,197.18 and 277.98 is: 417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.92 : 1,197.18 = 277.98 : x
  2. Step 2: Convert to fraction form
    797.92/1,197.18 = 277.98/x
  3. Step 3: Cross multiply
    797.92x = 1,197.18 × 277.98
  4. Step 4: Simplify right side
    797.92x = 332,794.34
  5. Step 5: Solve for x
    x = 332,794.34/797.92
  6. Step 6: Final answer
    x = 417.08

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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.