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Finding the Fourth Proportional to 617.92, 851.28 and 512.56

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Solution

The fourth proportional to 617.92, 851.28 and 512.56 is: 706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.92 : 851.28 = 512.56 : x
  2. Step 2: Convert to fraction form
    617.92/851.28 = 512.56/x
  3. Step 3: Cross multiply
    617.92x = 851.28 × 512.56
  4. Step 4: Simplify right side
    617.92x = 436,332.08
  5. Step 5: Solve for x
    x = 436,332.08/617.92
  6. Step 6: Final answer
    x = 706.13

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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.