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Finding the Fourth Proportional to 797.52, 1,195.00 and 523.40

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Solution

The fourth proportional to 797.52, 1,195.00 and 523.40 is: 784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.52 : 1,195.00 = 523.40 : x
  2. Step 2: Convert to fraction form
    797.52/1,195.00 = 523.40/x
  3. Step 3: Cross multiply
    797.52x = 1,195.00 × 523.40
  4. Step 4: Simplify right side
    797.52x = 625,464.68
  5. Step 5: Solve for x
    x = 625,464.68/797.52
  6. Step 6: Final answer
    x = 784.26

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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.