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Finding the Fourth Proportional to 994.80, 1,372.80 and 601.92

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Solution

The fourth proportional to 994.80, 1,372.80 and 601.92 is: 830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.80 : 1,372.80 = 601.92 : x
  2. Step 2: Convert to fraction form
    994.80/1,372.80 = 601.92/x
  3. Step 3: Cross multiply
    994.80x = 1,372.80 × 601.92
  4. Step 4: Simplify right side
    994.80x = 826,315.78
  5. Step 5: Solve for x
    x = 826,315.78/994.80
  6. Step 6: Final answer
    x = 830.64

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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.