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Finding the Fourth Proportional to 1,108.27, 1,529.34 and 610.87

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Solution

The fourth proportional to 1,108.27, 1,529.34 and 610.87 is: 842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.27 : 1,529.34 = 610.87 : x
  2. Step 2: Convert to fraction form
    1,108.27/1,529.34 = 610.87/x
  3. Step 3: Cross multiply
    1,108.27x = 1,529.34 × 610.87
  4. Step 4: Simplify right side
    1,108.27x = 934,227.93
  5. Step 5: Solve for x
    x = 934,227.93/1,108.27
  6. Step 6: Final answer
    x = 842.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.