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Finding the Fourth Proportional to 858.76, 1,286.52 and 425.68

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Solution

The fourth proportional to 858.76, 1,286.52 and 425.68 is: 637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.76 : 1,286.52 = 425.68 : x
  2. Step 2: Convert to fraction form
    858.76/1,286.52 = 425.68/x
  3. Step 3: Cross multiply
    858.76x = 1,286.52 × 425.68
  4. Step 4: Simplify right side
    858.76x = 547,645.83
  5. Step 5: Solve for x
    x = 547,645.83/858.76
  6. Step 6: Final answer
    x = 637.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.