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Finding the Fourth Proportional to 1,299.91, 1,949.49 and 362.64

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Solution

The fourth proportional to 1,299.91, 1,949.49 and 362.64 is: 543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.91 : 1,949.49 = 362.64 : x
  2. Step 2: Convert to fraction form
    1,299.91/1,949.49 = 362.64/x
  3. Step 3: Cross multiply
    1,299.91x = 1,949.49 × 362.64
  4. Step 4: Simplify right side
    1,299.91x = 706,953.31
  5. Step 5: Solve for x
    x = 706,953.31/1,299.91
  6. Step 6: Final answer
    x = 543.85

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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.