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Finding the Fourth Proportional to 951.48, 1,427.10 and 798.39

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Solution

The fourth proportional to 951.48, 1,427.10 and 798.39 is: 1,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.48 : 1,427.10 = 798.39 : x
  2. Step 2: Convert to fraction form
    951.48/1,427.10 = 798.39/x
  3. Step 3: Cross multiply
    951.48x = 1,427.10 × 798.39
  4. Step 4: Simplify right side
    951.48x = 1,139,382.37
  5. Step 5: Solve for x
    x = 1,139,382.37/951.48
  6. Step 6: Final answer
    x = 1,197.48

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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.