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Finding the Fourth Proportional to 1,049.87, 1,574.17 and 433.98

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Solution

The fourth proportional to 1,049.87, 1,574.17 and 433.98 is: 650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.87 : 1,574.17 = 433.98 : x
  2. Step 2: Convert to fraction form
    1,049.87/1,574.17 = 433.98/x
  3. Step 3: Cross multiply
    1,049.87x = 1,574.17 × 433.98
  4. Step 4: Simplify right side
    1,049.87x = 683,158.30
  5. Step 5: Solve for x
    x = 683,158.30/1,049.87
  6. Step 6: Final answer
    x = 650.71

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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.