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Finding the Fourth Proportional to 837.44, 1,155.41 and 505.73

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Solution

The fourth proportional to 837.44, 1,155.41 and 505.73 is: 697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,155.41 = 505.73 : x
  2. Step 2: Convert to fraction form
    837.44/1,155.41 = 505.73/x
  3. Step 3: Cross multiply
    837.44x = 1,155.41 × 505.73
  4. Step 4: Simplify right side
    837.44x = 584,325.50
  5. Step 5: Solve for x
    x = 584,325.50/837.44
  6. Step 6: Final answer
    x = 697.75

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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.