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Finding the Fourth Proportional to 605.42, 906.13 and 520.94

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Solution

The fourth proportional to 605.42, 906.13 and 520.94 is: 779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.42 : 906.13 = 520.94 : x
  2. Step 2: Convert to fraction form
    605.42/906.13 = 520.94/x
  3. Step 3: Cross multiply
    605.42x = 906.13 × 520.94
  4. Step 4: Simplify right side
    605.42x = 472,039.36
  5. Step 5: Solve for x
    x = 472,039.36/605.42
  6. Step 6: Final answer
    x = 779.69

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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.