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Finding the Fourth Proportional to 919.26, 1,264.59 and 806.74

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Solution

The fourth proportional to 919.26, 1,264.59 and 806.74 is: 1,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.26 : 1,264.59 = 806.74 : x
  2. Step 2: Convert to fraction form
    919.26/1,264.59 = 806.74/x
  3. Step 3: Cross multiply
    919.26x = 1,264.59 × 806.74
  4. Step 4: Simplify right side
    919.26x = 1,020,199.94
  5. Step 5: Solve for x
    x = 1,020,199.94/919.26
  6. Step 6: Final answer
    x = 1,109.80

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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.