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Finding the Fourth Proportional to 715.36, 1,072.87 and 195.24

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Solution

The fourth proportional to 715.36, 1,072.87 and 195.24 is: 292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.36 : 1,072.87 = 195.24 : x
  2. Step 2: Convert to fraction form
    715.36/1,072.87 = 195.24/x
  3. Step 3: Cross multiply
    715.36x = 1,072.87 × 195.24
  4. Step 4: Simplify right side
    715.36x = 209,466.31
  5. Step 5: Solve for x
    x = 209,466.31/715.36
  6. Step 6: Final answer
    x = 292.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.