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Finding the Fourth Proportional to 1,299.42, 1,949.06 and 374.94

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Solution

The fourth proportional to 1,299.42, 1,949.06 and 374.94 is: 562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.42 : 1,949.06 = 374.94 : x
  2. Step 2: Convert to fraction form
    1,299.42/1,949.06 = 374.94/x
  3. Step 3: Cross multiply
    1,299.42x = 1,949.06 × 374.94
  4. Step 4: Simplify right side
    1,299.42x = 730,780.56
  5. Step 5: Solve for x
    x = 730,780.56/1,299.42
  6. Step 6: Final answer
    x = 562.39

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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.