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Finding the Fourth Proportional to 937.31, 1,406.64 and 450.70

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Solution

The fourth proportional to 937.31, 1,406.64 and 450.70 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.31 : 1,406.64 = 450.70 : x
  2. Step 2: Convert to fraction form
    937.31/1,406.64 = 450.70/x
  3. Step 3: Cross multiply
    937.31x = 1,406.64 × 450.70
  4. Step 4: Simplify right side
    937.31x = 633,969.13
  5. Step 5: Solve for x
    x = 633,969.13/937.31
  6. Step 6: Final answer
    x = 676.37

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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.