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Finding the Fourth Proportional to 1,036.96, 1,553.98 and 516.48

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Solution

The fourth proportional to 1,036.96, 1,553.98 and 516.48 is: 773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.96 : 1,553.98 = 516.48 : x
  2. Step 2: Convert to fraction form
    1,036.96/1,553.98 = 516.48/x
  3. Step 3: Cross multiply
    1,036.96x = 1,553.98 × 516.48
  4. Step 4: Simplify right side
    1,036.96x = 802,599.59
  5. Step 5: Solve for x
    x = 802,599.59/1,036.96
  6. Step 6: Final answer
    x = 773.99

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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.