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Finding the Fourth Proportional to 1,233.32, 1,849.06 and 746.26

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Solution

The fourth proportional to 1,233.32, 1,849.06 and 746.26 is: 1,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.32 : 1,849.06 = 746.26 : x
  2. Step 2: Convert to fraction form
    1,233.32/1,849.06 = 746.26/x
  3. Step 3: Cross multiply
    1,233.32x = 1,849.06 × 746.26
  4. Step 4: Simplify right side
    1,233.32x = 1,379,879.52
  5. Step 5: Solve for x
    x = 1,379,879.52/1,233.32
  6. Step 6: Final answer
    x = 1,118.83

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