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Finding the Fourth Proportional to 1,490.96, 2,236.44 and 516.83

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Solution

The fourth proportional to 1,490.96, 2,236.44 and 516.83 is: 775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.96 : 2,236.44 = 516.83 : x
  2. Step 2: Convert to fraction form
    1,490.96/2,236.44 = 516.83/x
  3. Step 3: Cross multiply
    1,490.96x = 2,236.44 × 516.83
  4. Step 4: Simplify right side
    1,490.96x = 1,155,858.26
  5. Step 5: Solve for x
    x = 1,155,858.26/1,490.96
  6. Step 6: Final answer
    x = 775.25

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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.