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Finding the Fourth Proportional to 817.14, 1,127.88 and 518.44

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Solution

The fourth proportional to 817.14, 1,127.88 and 518.44 is: 715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.14 : 1,127.88 = 518.44 : x
  2. Step 2: Convert to fraction form
    817.14/1,127.88 = 518.44/x
  3. Step 3: Cross multiply
    817.14x = 1,127.88 × 518.44
  4. Step 4: Simplify right side
    817.14x = 584,738.11
  5. Step 5: Solve for x
    x = 584,738.11/817.14
  6. Step 6: Final answer
    x = 715.59

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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.