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Finding the Fourth Proportional to 556.17, 835.92 and 519.41

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Solution

The fourth proportional to 556.17, 835.92 and 519.41 is: 780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.17 : 835.92 = 519.41 : x
  2. Step 2: Convert to fraction form
    556.17/835.92 = 519.41/x
  3. Step 3: Cross multiply
    556.17x = 835.92 × 519.41
  4. Step 4: Simplify right side
    556.17x = 434,187.30
  5. Step 5: Solve for x
    x = 434,187.30/556.17
  6. Step 6: Final answer
    x = 780.68

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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.