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Finding the Fourth Proportional to 858.64, 1,286.76 and 425.36

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Solution

The fourth proportional to 858.64, 1,286.76 and 425.36 is: 637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.64 : 1,286.76 = 425.36 : x
  2. Step 2: Convert to fraction form
    858.64/1,286.76 = 425.36/x
  3. Step 3: Cross multiply
    858.64x = 1,286.76 × 425.36
  4. Step 4: Simplify right side
    858.64x = 547,336.23
  5. Step 5: Solve for x
    x = 547,336.23/858.64
  6. Step 6: Final answer
    x = 637.45

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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.