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Finding the Fourth Proportional to 919.44, 1,265.06 and 794.70

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Solution

The fourth proportional to 919.44, 1,265.06 and 794.70 is: 1,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.44 : 1,265.06 = 794.70 : x
  2. Step 2: Convert to fraction form
    919.44/1,265.06 = 794.70/x
  3. Step 3: Cross multiply
    919.44x = 1,265.06 × 794.70
  4. Step 4: Simplify right side
    919.44x = 1,005,339.21
  5. Step 5: Solve for x
    x = 1,005,339.21/919.44
  6. Step 6: Final answer
    x = 1,093.43

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1.5x scale

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.