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Finding the Fourth Proportional to 1,224.84, 1,836.72 and 761.92

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Solution

The fourth proportional to 1,224.84, 1,836.72 and 761.92 is: 1,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.84 : 1,836.72 = 761.92 : x
  2. Step 2: Convert to fraction form
    1,224.84/1,836.72 = 761.92/x
  3. Step 3: Cross multiply
    1,224.84x = 1,836.72 × 761.92
  4. Step 4: Simplify right side
    1,224.84x = 1,399,433.70
  5. Step 5: Solve for x
    x = 1,399,433.70/1,224.84
  6. Step 6: Final answer
    x = 1,142.54

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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.