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Finding the Fourth Proportional to 803.94, 1,200.14 and 768.48

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Solution

The fourth proportional to 803.94, 1,200.14 and 768.48 is: 1,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.94 : 1,200.14 = 768.48 : x
  2. Step 2: Convert to fraction form
    803.94/1,200.14 = 768.48/x
  3. Step 3: Cross multiply
    803.94x = 1,200.14 × 768.48
  4. Step 4: Simplify right side
    803.94x = 922,283.59
  5. Step 5: Solve for x
    x = 922,283.59/803.94
  6. Step 6: Final answer
    x = 1,147.20

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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.