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Finding the Fourth Proportional to 736.94, 1,016.34 and 571.16

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Solution

The fourth proportional to 736.94, 1,016.34 and 571.16 is: 787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.94 : 1,016.34 = 571.16 : x
  2. Step 2: Convert to fraction form
    736.94/1,016.34 = 571.16/x
  3. Step 3: Cross multiply
    736.94x = 1,016.34 × 571.16
  4. Step 4: Simplify right side
    736.94x = 580,492.75
  5. Step 5: Solve for x
    x = 580,492.75/736.94
  6. Step 6: Final answer
    x = 787.71

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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.