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Finding the Fourth Proportional to 1,299.82, 1,949.74 and 325.92

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Solution

The fourth proportional to 1,299.82, 1,949.74 and 325.92 is: 488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.82 : 1,949.74 = 325.92 : x
  2. Step 2: Convert to fraction form
    1,299.82/1,949.74 = 325.92/x
  3. Step 3: Cross multiply
    1,299.82x = 1,949.74 × 325.92
  4. Step 4: Simplify right side
    1,299.82x = 635,459.26
  5. Step 5: Solve for x
    x = 635,459.26/1,299.82
  6. Step 6: Final answer
    x = 488.88

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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.