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Finding the Fourth Proportional to 858.49, 1,286.11 and 424.33

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Solution

The fourth proportional to 858.49, 1,286.11 and 424.33 is: 635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.49 : 1,286.11 = 424.33 : x
  2. Step 2: Convert to fraction form
    858.49/1,286.11 = 424.33/x
  3. Step 3: Cross multiply
    858.49x = 1,286.11 × 424.33
  4. Step 4: Simplify right side
    858.49x = 545,735.06
  5. Step 5: Solve for x
    x = 545,735.06/858.49
  6. Step 6: Final answer
    x = 635.69

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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.