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Finding the Fourth Proportional to 840.37, 1,160.82 and 646.27

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Solution

The fourth proportional to 840.37, 1,160.82 and 646.27 is: 892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.37 : 1,160.82 = 646.27 : x
  2. Step 2: Convert to fraction form
    840.37/1,160.82 = 646.27/x
  3. Step 3: Cross multiply
    840.37x = 1,160.82 × 646.27
  4. Step 4: Simplify right side
    840.37x = 750,203.14
  5. Step 5: Solve for x
    x = 750,203.14/840.37
  6. Step 6: Final answer
    x = 892.71

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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.