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Finding the Fourth Proportional to 994.02, 1,371.80 and 574.43

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Solution

The fourth proportional to 994.02, 1,371.80 and 574.43 is: 792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.02 : 1,371.80 = 574.43 : x
  2. Step 2: Convert to fraction form
    994.02/1,371.80 = 574.43/x
  3. Step 3: Cross multiply
    994.02x = 1,371.80 × 574.43
  4. Step 4: Simplify right side
    994.02x = 788,001.64
  5. Step 5: Solve for x
    x = 788,001.64/994.02
  6. Step 6: Final answer
    x = 792.74

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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.