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Finding the Fourth Proportional to 1,213.12, 1,823.09 and 719.76

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Solution

The fourth proportional to 1,213.12, 1,823.09 and 719.76 is: 1,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.12 : 1,823.09 = 719.76 : x
  2. Step 2: Convert to fraction form
    1,213.12/1,823.09 = 719.76/x
  3. Step 3: Cross multiply
    1,213.12x = 1,823.09 × 719.76
  4. Step 4: Simplify right side
    1,213.12x = 1,312,183.66
  5. Step 5: Solve for x
    x = 1,312,183.66/1,213.12
  6. Step 6: Final answer
    x = 1,081.66

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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.