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Finding the Fourth Proportional to 1,490.46, 2,236.14 and 516.57

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Solution

The fourth proportional to 1,490.46, 2,236.14 and 516.57 is: 775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.46 : 2,236.14 = 516.57 : x
  2. Step 2: Convert to fraction form
    1,490.46/2,236.14 = 516.57/x
  3. Step 3: Cross multiply
    1,490.46x = 2,236.14 × 516.57
  4. Step 4: Simplify right side
    1,490.46x = 1,155,122.84
  5. Step 5: Solve for x
    x = 1,155,122.84/1,490.46
  6. Step 6: Final answer
    x = 775.01

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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.