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Finding the Fourth Proportional to 797.24, 1,189.15 and 772.94

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Solution

The fourth proportional to 797.24, 1,189.15 and 772.94 is: 1,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.24 : 1,189.15 = 772.94 : x
  2. Step 2: Convert to fraction form
    797.24/1,189.15 = 772.94/x
  3. Step 3: Cross multiply
    797.24x = 1,189.15 × 772.94
  4. Step 4: Simplify right side
    797.24x = 919,142.64
  5. Step 5: Solve for x
    x = 919,142.64/797.24
  6. Step 6: Final answer
    x = 1,152.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.