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Finding the Fourth Proportional to 836.01, 1,152.23 and 602.73

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Solution

The fourth proportional to 836.01, 1,152.23 and 602.73 is: 830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.01 : 1,152.23 = 602.73 : x
  2. Step 2: Convert to fraction form
    836.01/1,152.23 = 602.73/x
  3. Step 3: Cross multiply
    836.01x = 1,152.23 × 602.73
  4. Step 4: Simplify right side
    836.01x = 694,480.57
  5. Step 5: Solve for x
    x = 694,480.57/836.01
  6. Step 6: Final answer
    x = 830.71

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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.