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Finding the Fourth Proportional to 1,233.21, 1,848.89 and 746.14

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Solution

The fourth proportional to 1,233.21, 1,848.89 and 746.14 is: 1,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.21 : 1,848.89 = 746.14 : x
  2. Step 2: Convert to fraction form
    1,233.21/1,848.89 = 746.14/x
  3. Step 3: Cross multiply
    1,233.21x = 1,848.89 × 746.14
  4. Step 4: Simplify right side
    1,233.21x = 1,379,530.78
  5. Step 5: Solve for x
    x = 1,379,530.78/1,233.21
  6. Step 6: Final answer
    x = 1,118.65

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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.