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Finding the Fourth Proportional to 994.45, 1,372.35 and 601.60

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Solution

The fourth proportional to 994.45, 1,372.35 and 601.60 is: 830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.45 : 1,372.35 = 601.60 : x
  2. Step 2: Convert to fraction form
    994.45/1,372.35 = 601.60/x
  3. Step 3: Cross multiply
    994.45x = 1,372.35 × 601.60
  4. Step 4: Simplify right side
    994.45x = 825,598.90
  5. Step 5: Solve for x
    x = 825,598.90/994.45
  6. Step 6: Final answer
    x = 830.21

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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.