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Finding the Fourth Proportional to 858.48, 1,286.64 and 425.76

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Solution

The fourth proportional to 858.48, 1,286.64 and 425.76 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.48 : 1,286.64 = 425.76 : x
  2. Step 2: Convert to fraction form
    858.48/1,286.64 = 425.76/x
  3. Step 3: Cross multiply
    858.48x = 1,286.64 × 425.76
  4. Step 4: Simplify right side
    858.48x = 547,799.85
  5. Step 5: Solve for x
    x = 547,799.85/858.48
  6. Step 6: Final answer
    x = 638.10

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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.