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Finding the Fourth Proportional to 797.42, 1,194.66 and 523.52

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Solution

The fourth proportional to 797.42, 1,194.66 and 523.52 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.42 : 1,194.66 = 523.52 : x
  2. Step 2: Convert to fraction form
    797.42/1,194.66 = 523.52/x
  3. Step 3: Cross multiply
    797.42x = 1,194.66 × 523.52
  4. Step 4: Simplify right side
    797.42x = 625,428.40
  5. Step 5: Solve for x
    x = 625,428.40/797.42
  6. Step 6: Final answer
    x = 784.31

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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.