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Finding the Fourth Proportional to 821.92, 1,136.43 and 718.17

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Solution

The fourth proportional to 821.92, 1,136.43 and 718.17 is: 992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.92 : 1,136.43 = 718.17 : x
  2. Step 2: Convert to fraction form
    821.92/1,136.43 = 718.17/x
  3. Step 3: Cross multiply
    821.92x = 1,136.43 × 718.17
  4. Step 4: Simplify right side
    821.92x = 816,144.25
  5. Step 5: Solve for x
    x = 816,144.25/821.92
  6. Step 6: Final answer
    x = 992.98

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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.