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Finding the Fourth Proportional to 740.31, 1,110.92 and 664.68

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Solution

The fourth proportional to 740.31, 1,110.92 and 664.68 is: 997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.31 : 1,110.92 = 664.68 : x
  2. Step 2: Convert to fraction form
    740.31/1,110.92 = 664.68/x
  3. Step 3: Cross multiply
    740.31x = 1,110.92 × 664.68
  4. Step 4: Simplify right side
    740.31x = 738,402.98
  5. Step 5: Solve for x
    x = 738,402.98/740.31
  6. Step 6: Final answer
    x = 997.42

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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.