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Finding the Fourth Proportional to 646.96, 892.83 and 425.74

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Solution

The fourth proportional to 646.96, 892.83 and 425.74 is: 587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.96 : 892.83 = 425.74 : x
  2. Step 2: Convert to fraction form
    646.96/892.83 = 425.74/x
  3. Step 3: Cross multiply
    646.96x = 892.83 × 425.74
  4. Step 4: Simplify right side
    646.96x = 380,113.44
  5. Step 5: Solve for x
    x = 380,113.44/646.96
  6. Step 6: Final answer
    x = 587.54

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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.