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Finding the Fourth Proportional to 796.37, 1,098.68 and 587.04

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Solution

The fourth proportional to 796.37, 1,098.68 and 587.04 is: 809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.37 : 1,098.68 = 587.04 : x
  2. Step 2: Convert to fraction form
    796.37/1,098.68 = 587.04/x
  3. Step 3: Cross multiply
    796.37x = 1,098.68 × 587.04
  4. Step 4: Simplify right side
    796.37x = 644,968.44
  5. Step 5: Solve for x
    x = 644,968.44/796.37
  6. Step 6: Final answer
    x = 809.89

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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.