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Finding the Fourth Proportional to 1,109.27, 1,663.57 and 523.94

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Solution

The fourth proportional to 1,109.27, 1,663.57 and 523.94 is: 785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.27 : 1,663.57 = 523.94 : x
  2. Step 2: Convert to fraction form
    1,109.27/1,663.57 = 523.94/x
  3. Step 3: Cross multiply
    1,109.27x = 1,663.57 × 523.94
  4. Step 4: Simplify right side
    1,109.27x = 871,610.87
  5. Step 5: Solve for x
    x = 871,610.87/1,109.27
  6. Step 6: Final answer
    x = 785.75

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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.