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Finding the Fourth Proportional to 1,010.71, 1,516.46 and 490.68

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Solution

The fourth proportional to 1,010.71, 1,516.46 and 490.68 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.71 : 1,516.46 = 490.68 : x
  2. Step 2: Convert to fraction form
    1,010.71/1,516.46 = 490.68/x
  3. Step 3: Cross multiply
    1,010.71x = 1,516.46 × 490.68
  4. Step 4: Simplify right side
    1,010.71x = 744,096.59
  5. Step 5: Solve for x
    x = 744,096.59/1,010.71
  6. Step 6: Final answer
    x = 736.21

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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.