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Finding the Fourth Proportional to 937.83, 1,403.91 and 571.44

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Solution

The fourth proportional to 937.83, 1,403.91 and 571.44 is: 855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.83 : 1,403.91 = 571.44 : x
  2. Step 2: Convert to fraction form
    937.83/1,403.91 = 571.44/x
  3. Step 3: Cross multiply
    937.83x = 1,403.91 × 571.44
  4. Step 4: Simplify right side
    937.83x = 802,250.33
  5. Step 5: Solve for x
    x = 802,250.33/937.83
  6. Step 6: Final answer
    x = 855.43

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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.