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Finding the Fourth Proportional to 914.72, 1,369.08 and 827.20

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Solution

The fourth proportional to 914.72, 1,369.08 and 827.20 is: 1,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.72 : 1,369.08 = 827.20 : x
  2. Step 2: Convert to fraction form
    914.72/1,369.08 = 827.20/x
  3. Step 3: Cross multiply
    914.72x = 1,369.08 × 827.20
  4. Step 4: Simplify right side
    914.72x = 1,132,502.98
  5. Step 5: Solve for x
    x = 1,132,502.98/914.72
  6. Step 6: Final answer
    x = 1,238.09

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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.