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Finding the Fourth Proportional to 1,233.81, 1,849.81 and 746.76

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Solution

The fourth proportional to 1,233.81, 1,849.81 and 746.76 is: 1,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.81 : 1,849.81 = 746.76 : x
  2. Step 2: Convert to fraction form
    1,233.81/1,849.81 = 746.76/x
  3. Step 3: Cross multiply
    1,233.81x = 1,849.81 × 746.76
  4. Step 4: Simplify right side
    1,233.81x = 1,381,364.12
  5. Step 5: Solve for x
    x = 1,381,364.12/1,233.81
  6. Step 6: Final answer
    x = 1,119.59

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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.