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Finding the Fourth Proportional to 905.83, 1,249.91 and 532.82

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Solution

The fourth proportional to 905.83, 1,249.91 and 532.82 is: 735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.83 : 1,249.91 = 532.82 : x
  2. Step 2: Convert to fraction form
    905.83/1,249.91 = 532.82/x
  3. Step 3: Cross multiply
    905.83x = 1,249.91 × 532.82
  4. Step 4: Simplify right side
    905.83x = 665,977.51
  5. Step 5: Solve for x
    x = 665,977.51/905.83
  6. Step 6: Final answer
    x = 735.21

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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.