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Finding the Fourth Proportional to 872.37, 1,314.83 and 835.31

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Solution

The fourth proportional to 872.37, 1,314.83 and 835.31 is: 1,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.37 : 1,314.83 = 835.31 : x
  2. Step 2: Convert to fraction form
    872.37/1,314.83 = 835.31/x
  3. Step 3: Cross multiply
    872.37x = 1,314.83 × 835.31
  4. Step 4: Simplify right side
    872.37x = 1,098,296.02
  5. Step 5: Solve for x
    x = 1,098,296.02/872.37
  6. Step 6: Final answer
    x = 1,258.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.