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Finding the Fourth Proportional to 909.43, 1,255.23 and 847.87

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Solution

The fourth proportional to 909.43, 1,255.23 and 847.87 is: 1,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.43 : 1,255.23 = 847.87 : x
  2. Step 2: Convert to fraction form
    909.43/1,255.23 = 847.87/x
  3. Step 3: Cross multiply
    909.43x = 1,255.23 × 847.87
  4. Step 4: Simplify right side
    909.43x = 1,064,268.72
  5. Step 5: Solve for x
    x = 1,064,268.72/909.43
  6. Step 6: Final answer
    x = 1,170.26

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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.