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Finding the Fourth Proportional to 1,200.94, 1,800.78 and 552.16

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Solution

The fourth proportional to 1,200.94, 1,800.78 and 552.16 is: 827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.94 : 1,800.78 = 552.16 : x
  2. Step 2: Convert to fraction form
    1,200.94/1,800.78 = 552.16/x
  3. Step 3: Cross multiply
    1,200.94x = 1,800.78 × 552.16
  4. Step 4: Simplify right side
    1,200.94x = 994,318.68
  5. Step 5: Solve for x
    x = 994,318.68/1,200.94
  6. Step 6: Final answer
    x = 827.95

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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.