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Finding the Fourth Proportional to 828.02, 1,136.03 and 806.46

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Solution

The fourth proportional to 828.02, 1,136.03 and 806.46 is: 1,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.02 : 1,136.03 = 806.46 : x
  2. Step 2: Convert to fraction form
    828.02/1,136.03 = 806.46/x
  3. Step 3: Cross multiply
    828.02x = 1,136.03 × 806.46
  4. Step 4: Simplify right side
    828.02x = 916,154.46
  5. Step 5: Solve for x
    x = 916,154.46/828.02
  6. Step 6: Final answer
    x = 1,106.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.