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Finding the Fourth Proportional to 857.88, 1,286.06 and 338.22

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Solution

The fourth proportional to 857.88, 1,286.06 and 338.22 is: 507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.88 : 1,286.06 = 338.22 : x
  2. Step 2: Convert to fraction form
    857.88/1,286.06 = 338.22/x
  3. Step 3: Cross multiply
    857.88x = 1,286.06 × 338.22
  4. Step 4: Simplify right side
    857.88x = 434,969.52
  5. Step 5: Solve for x
    x = 434,969.52/857.88
  6. Step 6: Final answer
    x = 507.03

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1.5x scale

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.