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Finding the Fourth Proportional to 1,233.13, 1,848.78 and 746.07

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Solution

The fourth proportional to 1,233.13, 1,848.78 and 746.07 is: 1,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.13 : 1,848.78 = 746.07 : x
  2. Step 2: Convert to fraction form
    1,233.13/1,848.78 = 746.07/x
  3. Step 3: Cross multiply
    1,233.13x = 1,848.78 × 746.07
  4. Step 4: Simplify right side
    1,233.13x = 1,379,315.56
  5. Step 5: Solve for x
    x = 1,379,315.56/1,233.13
  6. Step 6: Final answer
    x = 1,118.55

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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.