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Finding the Fourth Proportional to 665.90, 996.83 and 520.10

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Solution

The fourth proportional to 665.90, 996.83 and 520.10 is: 778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.90 : 996.83 = 520.10 : x
  2. Step 2: Convert to fraction form
    665.90/996.83 = 520.10/x
  3. Step 3: Cross multiply
    665.90x = 996.83 × 520.10
  4. Step 4: Simplify right side
    665.90x = 518,448.68
  5. Step 5: Solve for x
    x = 518,448.68/665.90
  6. Step 6: Final answer
    x = 778.57

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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.