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Finding the Fourth Proportional to 951.37, 1,427.37 and 464.47

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Solution

The fourth proportional to 951.37, 1,427.37 and 464.47 is: 696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.37 : 1,427.37 = 464.47 : x
  2. Step 2: Convert to fraction form
    951.37/1,427.37 = 464.47/x
  3. Step 3: Cross multiply
    951.37x = 1,427.37 × 464.47
  4. Step 4: Simplify right side
    951.37x = 662,970.54
  5. Step 5: Solve for x
    x = 662,970.54/951.37
  6. Step 6: Final answer
    x = 696.86

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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.