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Finding the Fourth Proportional to 1,437.24, 1,982.78 and 905.94

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Solution

The fourth proportional to 1,437.24, 1,982.78 and 905.94 is: 1,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.24 : 1,982.78 = 905.94 : x
  2. Step 2: Convert to fraction form
    1,437.24/1,982.78 = 905.94/x
  3. Step 3: Cross multiply
    1,437.24x = 1,982.78 × 905.94
  4. Step 4: Simplify right side
    1,437.24x = 1,796,279.71
  5. Step 5: Solve for x
    x = 1,796,279.71/1,437.24
  6. Step 6: Final answer
    x = 1,249.81

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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.