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Finding the Fourth Proportional to 964.23, 1,331.28 and 649.97

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Solution

The fourth proportional to 964.23, 1,331.28 and 649.97 is: 897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.23 : 1,331.28 = 649.97 : x
  2. Step 2: Convert to fraction form
    964.23/1,331.28 = 649.97/x
  3. Step 3: Cross multiply
    964.23x = 1,331.28 × 649.97
  4. Step 4: Simplify right side
    964.23x = 865,285.41
  5. Step 5: Solve for x
    x = 865,285.41/964.23
  6. Step 6: Final answer
    x = 897.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.