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Finding the Fourth Proportional to 796.34, 1,193.34 and 732.72

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Solution

The fourth proportional to 796.34, 1,193.34 and 732.72 is: 1,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.34 : 1,193.34 = 732.72 : x
  2. Step 2: Convert to fraction form
    796.34/1,193.34 = 732.72/x
  3. Step 3: Cross multiply
    796.34x = 1,193.34 × 732.72
  4. Step 4: Simplify right side
    796.34x = 874,384.08
  5. Step 5: Solve for x
    x = 874,384.08/796.34
  6. Step 6: Final answer
    x = 1,098.00

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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.