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Finding the Fourth Proportional to 1,299.52, 1,949.29 and 433.83

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Solution

The fourth proportional to 1,299.52, 1,949.29 and 433.83 is: 650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.52 : 1,949.29 = 433.83 : x
  2. Step 2: Convert to fraction form
    1,299.52/1,949.29 = 433.83/x
  3. Step 3: Cross multiply
    1,299.52x = 1,949.29 × 433.83
  4. Step 4: Simplify right side
    1,299.52x = 845,656.96
  5. Step 5: Solve for x
    x = 845,656.96/1,299.52
  6. Step 6: Final answer
    x = 650.75

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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.