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Finding the Fourth Proportional to 522.09, 781.97 and 512.06

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Solution

The fourth proportional to 522.09, 781.97 and 512.06 is: 766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.09 : 781.97 = 512.06 : x
  2. Step 2: Convert to fraction form
    522.09/781.97 = 512.06/x
  3. Step 3: Cross multiply
    522.09x = 781.97 × 512.06
  4. Step 4: Simplify right side
    522.09x = 400,409.09
  5. Step 5: Solve for x
    x = 400,409.09/522.09
  6. Step 6: Final answer
    x = 766.93

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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.