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Finding the Fourth Proportional to 857.75, 1,289.03 and 511.14

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Solution

The fourth proportional to 857.75, 1,289.03 and 511.14 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.75 : 1,289.03 = 511.14 : x
  2. Step 2: Convert to fraction form
    857.75/1,289.03 = 511.14/x
  3. Step 3: Cross multiply
    857.75x = 1,289.03 × 511.14
  4. Step 4: Simplify right side
    857.75x = 658,874.79
  5. Step 5: Solve for x
    x = 658,874.79/857.75
  6. Step 6: Final answer
    x = 768.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.