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Finding the Fourth Proportional to 837.87, 1,254.98 and 664.74

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Solution

The fourth proportional to 837.87, 1,254.98 and 664.74 is: 995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.87 : 1,254.98 = 664.74 : x
  2. Step 2: Convert to fraction form
    837.87/1,254.98 = 664.74/x
  3. Step 3: Cross multiply
    837.87x = 1,254.98 × 664.74
  4. Step 4: Simplify right side
    837.87x = 834,232.08
  5. Step 5: Solve for x
    x = 834,232.08/837.87
  6. Step 6: Final answer
    x = 995.66

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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.