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Finding the Fourth Proportional to 1,299.63, 1,949.25 and 433.95

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Solution

The fourth proportional to 1,299.63, 1,949.25 and 433.95 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.63 : 1,949.25 = 433.95 : x
  2. Step 2: Convert to fraction form
    1,299.63/1,949.25 = 433.95/x
  3. Step 3: Cross multiply
    1,299.63x = 1,949.25 × 433.95
  4. Step 4: Simplify right side
    1,299.63x = 845,877.04
  5. Step 5: Solve for x
    x = 845,877.04/1,299.63
  6. Step 6: Final answer
    x = 650.86

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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.