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Finding the Fourth Proportional to 1,049.97, 1,574.81 and 433.59

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Solution

The fourth proportional to 1,049.97, 1,574.81 and 433.59 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.97 : 1,574.81 = 433.59 : x
  2. Step 2: Convert to fraction form
    1,049.97/1,574.81 = 433.59/x
  3. Step 3: Cross multiply
    1,049.97x = 1,574.81 × 433.59
  4. Step 4: Simplify right side
    1,049.97x = 682,820.81
  5. Step 5: Solve for x
    x = 682,820.81/1,049.97
  6. Step 6: Final answer
    x = 650.33

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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.