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Finding the Fourth Proportional to 797.72, 1,194.93 and 550.31

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Solution

The fourth proportional to 797.72, 1,194.93 and 550.31 is: 824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.72 : 1,194.93 = 550.31 : x
  2. Step 2: Convert to fraction form
    797.72/1,194.93 = 550.31/x
  3. Step 3: Cross multiply
    797.72x = 1,194.93 × 550.31
  4. Step 4: Simplify right side
    797.72x = 657,575.95
  5. Step 5: Solve for x
    x = 657,575.95/797.72
  6. Step 6: Final answer
    x = 824.32

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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.