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Finding the Fourth Proportional to 940.89, 1,408.89 and 649.29

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Solution

The fourth proportional to 940.89, 1,408.89 and 649.29 is: 972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.89 : 1,408.89 = 649.29 : x
  2. Step 2: Convert to fraction form
    940.89/1,408.89 = 649.29/x
  3. Step 3: Cross multiply
    940.89x = 1,408.89 × 649.29
  4. Step 4: Simplify right side
    940.89x = 914,778.19
  5. Step 5: Solve for x
    x = 914,778.19/940.89
  6. Step 6: Final answer
    x = 972.25

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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.