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Finding the Fourth Proportional to 681.16, 944.05 and 649.48

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Solution

The fourth proportional to 681.16, 944.05 and 649.48 is: 900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.16 : 944.05 = 649.48 : x
  2. Step 2: Convert to fraction form
    681.16/944.05 = 649.48/x
  3. Step 3: Cross multiply
    681.16x = 944.05 × 649.48
  4. Step 4: Simplify right side
    681.16x = 613,141.59
  5. Step 5: Solve for x
    x = 613,141.59/681.16
  6. Step 6: Final answer
    x = 900.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.