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Finding the Fourth Proportional to 736.72, 1,016.74 and 442.16

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Solution

The fourth proportional to 736.72, 1,016.74 and 442.16 is: 610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.72 : 1,016.74 = 442.16 : x
  2. Step 2: Convert to fraction form
    736.72/1,016.74 = 442.16/x
  3. Step 3: Cross multiply
    736.72x = 1,016.74 × 442.16
  4. Step 4: Simplify right side
    736.72x = 449,561.76
  5. Step 5: Solve for x
    x = 449,561.76/736.72
  6. Step 6: Final answer
    x = 610.22

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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.