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Finding the Fourth Proportional to 823.53, 1,136.34 and 666.66

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Solution

The fourth proportional to 823.53, 1,136.34 and 666.66 is: 919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.53 : 1,136.34 = 666.66 : x
  2. Step 2: Convert to fraction form
    823.53/1,136.34 = 666.66/x
  3. Step 3: Cross multiply
    823.53x = 1,136.34 × 666.66
  4. Step 4: Simplify right side
    823.53x = 757,552.42
  5. Step 5: Solve for x
    x = 757,552.42/823.53
  6. Step 6: Final answer
    x = 919.88

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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.