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Finding the Fourth Proportional to 816.92, 1,126.79 and 522.06

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Solution

The fourth proportional to 816.92, 1,126.79 and 522.06 is: 720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.92 : 1,126.79 = 522.06 : x
  2. Step 2: Convert to fraction form
    816.92/1,126.79 = 522.06/x
  3. Step 3: Cross multiply
    816.92x = 1,126.79 × 522.06
  4. Step 4: Simplify right side
    816.92x = 588,243.74
  5. Step 5: Solve for x
    x = 588,243.74/816.92
  6. Step 6: Final answer
    x = 720.08

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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.