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Finding the Fourth Proportional to 1,266.24, 1,747.04 and 823.68

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Solution

The fourth proportional to 1,266.24, 1,747.04 and 823.68 is: 1,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.24 : 1,747.04 = 823.68 : x
  2. Step 2: Convert to fraction form
    1,266.24/1,747.04 = 823.68/x
  3. Step 3: Cross multiply
    1,266.24x = 1,747.04 × 823.68
  4. Step 4: Simplify right side
    1,266.24x = 1,439,001.91
  5. Step 5: Solve for x
    x = 1,439,001.91/1,266.24
  6. Step 6: Final answer
    x = 1,136.44

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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.