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Finding the Fourth Proportional to 816.70, 1,127.82 and 522.68

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Solution

The fourth proportional to 816.70, 1,127.82 and 522.68 is: 721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.70 : 1,127.82 = 522.68 : x
  2. Step 2: Convert to fraction form
    816.70/1,127.82 = 522.68/x
  3. Step 3: Cross multiply
    816.70x = 1,127.82 × 522.68
  4. Step 4: Simplify right side
    816.70x = 589,488.96
  5. Step 5: Solve for x
    x = 589,488.96/816.70
  6. Step 6: Final answer
    x = 721.79

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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.