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Finding the Fourth Proportional to 951.42, 1,427.13 and 518.49

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Solution

The fourth proportional to 951.42, 1,427.13 and 518.49 is: 777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.42 : 1,427.13 = 518.49 : x
  2. Step 2: Convert to fraction form
    951.42/1,427.13 = 518.49/x
  3. Step 3: Cross multiply
    951.42x = 1,427.13 × 518.49
  4. Step 4: Simplify right side
    951.42x = 739,952.63
  5. Step 5: Solve for x
    x = 739,952.63/951.42
  6. Step 6: Final answer
    x = 777.74

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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.