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Finding the Fourth Proportional to 647.91, 893.78 and 426.78

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Solution

The fourth proportional to 647.91, 893.78 and 426.78 is: 588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.91 : 893.78 = 426.78 : x
  2. Step 2: Convert to fraction form
    647.91/893.78 = 426.78/x
  3. Step 3: Cross multiply
    647.91x = 893.78 × 426.78
  4. Step 4: Simplify right side
    647.91x = 381,445.29
  5. Step 5: Solve for x
    x = 381,445.29/647.91
  6. Step 6: Final answer
    x = 588.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.