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Finding the Fourth Proportional to 725.49, 1,086.95 and 649.89

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Solution

The fourth proportional to 725.49, 1,086.95 and 649.89 is: 973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.49 : 1,086.95 = 649.89 : x
  2. Step 2: Convert to fraction form
    725.49/1,086.95 = 649.89/x
  3. Step 3: Cross multiply
    725.49x = 1,086.95 × 649.89
  4. Step 4: Simplify right side
    725.49x = 706,399.56
  5. Step 5: Solve for x
    x = 706,399.56/725.49
  6. Step 6: Final answer
    x = 973.69

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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.