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Finding the Fourth Proportional to 736.64, 1,016.20 and 596.48

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Solution

The fourth proportional to 736.64, 1,016.20 and 596.48 is: 822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.64 : 1,016.20 = 596.48 : x
  2. Step 2: Convert to fraction form
    736.64/1,016.20 = 596.48/x
  3. Step 3: Cross multiply
    736.64x = 1,016.20 × 596.48
  4. Step 4: Simplify right side
    736.64x = 606,142.98
  5. Step 5: Solve for x
    x = 606,142.98/736.64
  6. Step 6: Final answer
    x = 822.85

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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.