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Finding the Fourth Proportional to 797.76, 1,197.34 and 335.86

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Solution

The fourth proportional to 797.76, 1,197.34 and 335.86 is: 504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.76 : 1,197.34 = 335.86 : x
  2. Step 2: Convert to fraction form
    797.76/1,197.34 = 335.86/x
  3. Step 3: Cross multiply
    797.76x = 1,197.34 × 335.86
  4. Step 4: Simplify right side
    797.76x = 402,138.61
  5. Step 5: Solve for x
    x = 402,138.61/797.76
  6. Step 6: Final answer
    x = 504.08

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