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Finding the Fourth Proportional to 1,110.04, 1,663.74 and 516.26

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Solution

The fourth proportional to 1,110.04, 1,663.74 and 516.26 is: 773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.04 : 1,663.74 = 516.26 : x
  2. Step 2: Convert to fraction form
    1,110.04/1,663.74 = 516.26/x
  3. Step 3: Cross multiply
    1,110.04x = 1,663.74 × 516.26
  4. Step 4: Simplify right side
    1,110.04x = 858,922.41
  5. Step 5: Solve for x
    x = 858,922.41/1,110.04
  6. Step 6: Final answer
    x = 773.77

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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.