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Finding the Fourth Proportional to 1,299.88, 1,949.21 and 433.58

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Solution

The fourth proportional to 1,299.88, 1,949.21 and 433.58 is: 650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.88 : 1,949.21 = 433.58 : x
  2. Step 2: Convert to fraction form
    1,299.88/1,949.21 = 433.58/x
  3. Step 3: Cross multiply
    1,299.88x = 1,949.21 × 433.58
  4. Step 4: Simplify right side
    1,299.88x = 845,136.30
  5. Step 5: Solve for x
    x = 845,136.30/1,299.88
  6. Step 6: Final answer
    x = 650.17

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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.