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Finding the Fourth Proportional to 816.57, 1,127.12 and 522.23

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Solution

The fourth proportional to 816.57, 1,127.12 and 522.23 is: 720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.57 : 1,127.12 = 522.23 : x
  2. Step 2: Convert to fraction form
    816.57/1,127.12 = 522.23/x
  3. Step 3: Cross multiply
    816.57x = 1,127.12 × 522.23
  4. Step 4: Simplify right side
    816.57x = 588,607.63
  5. Step 5: Solve for x
    x = 588,607.63/816.57
  6. Step 6: Final answer
    x = 720.83

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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.