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Finding the Fourth Proportional to 1,433.57, 2,150.82 and 611.82

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Solution

The fourth proportional to 1,433.57, 2,150.82 and 611.82 is: 917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.57 : 2,150.82 = 611.82 : x
  2. Step 2: Convert to fraction form
    1,433.57/2,150.82 = 611.82/x
  3. Step 3: Cross multiply
    1,433.57x = 2,150.82 × 611.82
  4. Step 4: Simplify right side
    1,433.57x = 1,315,914.69
  5. Step 5: Solve for x
    x = 1,315,914.69/1,433.57
  6. Step 6: Final answer
    x = 917.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.