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Finding the Fourth Proportional to 994.14, 1,371.89 and 552.02

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Solution

The fourth proportional to 994.14, 1,371.89 and 552.02 is: 761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.14 : 1,371.89 = 552.02 : x
  2. Step 2: Convert to fraction form
    994.14/1,371.89 = 552.02/x
  3. Step 3: Cross multiply
    994.14x = 1,371.89 × 552.02
  4. Step 4: Simplify right side
    994.14x = 757,305.24
  5. Step 5: Solve for x
    x = 757,305.24/994.14
  6. Step 6: Final answer
    x = 761.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.