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Finding the Fourth Proportional to 797.86, 1,194.29 and 553.65

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Solution

The fourth proportional to 797.86, 1,194.29 and 553.65 is: 828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.86 : 1,194.29 = 553.65 : x
  2. Step 2: Convert to fraction form
    797.86/1,194.29 = 553.65/x
  3. Step 3: Cross multiply
    797.86x = 1,194.29 × 553.65
  4. Step 4: Simplify right side
    797.86x = 661,218.66
  5. Step 5: Solve for x
    x = 661,218.66/797.86
  6. Step 6: Final answer
    x = 828.74

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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.