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Finding the Fourth Proportional to 797.73, 1,188.37 and 773.55

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Solution

The fourth proportional to 797.73, 1,188.37 and 773.55 is: 1,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.73 : 1,188.37 = 773.55 : x
  2. Step 2: Convert to fraction form
    797.73/1,188.37 = 773.55/x
  3. Step 3: Cross multiply
    797.73x = 1,188.37 × 773.55
  4. Step 4: Simplify right side
    797.73x = 919,263.61
  5. Step 5: Solve for x
    x = 919,263.61/797.73
  6. Step 6: Final answer
    x = 1,152.35

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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.