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Finding the Fourth Proportional to 1,299.31, 1,949.28 and 374.92

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Solution

The fourth proportional to 1,299.31, 1,949.28 and 374.92 is: 562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.31 : 1,949.28 = 374.92 : x
  2. Step 2: Convert to fraction form
    1,299.31/1,949.28 = 374.92/x
  3. Step 3: Cross multiply
    1,299.31x = 1,949.28 × 374.92
  4. Step 4: Simplify right side
    1,299.31x = 730,824.06
  5. Step 5: Solve for x
    x = 730,824.06/1,299.31
  6. Step 6: Final answer
    x = 562.47

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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.