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Finding the Fourth Proportional to 797.79, 1,194.28 and 431.47

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Solution

The fourth proportional to 797.79, 1,194.28 and 431.47 is: 645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.79 : 1,194.28 = 431.47 : x
  2. Step 2: Convert to fraction form
    797.79/1,194.28 = 431.47/x
  3. Step 3: Cross multiply
    797.79x = 1,194.28 × 431.47
  4. Step 4: Simplify right side
    797.79x = 515,298.02
  5. Step 5: Solve for x
    x = 515,298.02/797.79
  6. Step 6: Final answer
    x = 645.90

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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.