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Finding the Fourth Proportional to 648.29, 892.82 and 646.27

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Solution

The fourth proportional to 648.29, 892.82 and 646.27 is: 890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.29 : 892.82 = 646.27 : x
  2. Step 2: Convert to fraction form
    648.29/892.82 = 646.27/x
  3. Step 3: Cross multiply
    648.29x = 892.82 × 646.27
  4. Step 4: Simplify right side
    648.29x = 577,002.17
  5. Step 5: Solve for x
    x = 577,002.17/648.29
  6. Step 6: Final answer
    x = 890.03

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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.