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Finding the Fourth Proportional to 858.12, 1,286.36 and 424.77

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Solution

The fourth proportional to 858.12, 1,286.36 and 424.77 is: 636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.12 : 1,286.36 = 424.77 : x
  2. Step 2: Convert to fraction form
    858.12/1,286.36 = 424.77/x
  3. Step 3: Cross multiply
    858.12x = 1,286.36 × 424.77
  4. Step 4: Simplify right side
    858.12x = 546,407.14
  5. Step 5: Solve for x
    x = 546,407.14/858.12
  6. Step 6: Final answer
    x = 636.75

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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.