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Finding the Fourth Proportional to 1,412.79, 1,949.96 and 823.66

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Solution

The fourth proportional to 1,412.79, 1,949.96 and 823.66 is: 1,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.79 : 1,949.96 = 823.66 : x
  2. Step 2: Convert to fraction form
    1,412.79/1,949.96 = 823.66/x
  3. Step 3: Cross multiply
    1,412.79x = 1,949.96 × 823.66
  4. Step 4: Simplify right side
    1,412.79x = 1,606,104.05
  5. Step 5: Solve for x
    x = 1,606,104.05/1,412.79
  6. Step 6: Final answer
    x = 1,136.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.