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Finding the Fourth Proportional to 837.30, 1,252.22 and 745.42

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Solution

The fourth proportional to 837.30, 1,252.22 and 745.42 is: 1,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.30 : 1,252.22 = 745.42 : x
  2. Step 2: Convert to fraction form
    837.30/1,252.22 = 745.42/x
  3. Step 3: Cross multiply
    837.30x = 1,252.22 × 745.42
  4. Step 4: Simplify right side
    837.30x = 933,429.83
  5. Step 5: Solve for x
    x = 933,429.83/837.30
  6. Step 6: Final answer
    x = 1,114.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.