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Finding the Fourth Proportional to 736.76, 1,016.14 and 648.05

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Solution

The fourth proportional to 736.76, 1,016.14 and 648.05 is: 893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.76 : 1,016.14 = 648.05 : x
  2. Step 2: Convert to fraction form
    736.76/1,016.14 = 648.05/x
  3. Step 3: Cross multiply
    736.76x = 1,016.14 × 648.05
  4. Step 4: Simplify right side
    736.76x = 658,509.53
  5. Step 5: Solve for x
    x = 658,509.53/736.76
  6. Step 6: Final answer
    x = 893.79

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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.