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Finding the Fourth Proportional to 796.84, 1,098.96 and 610

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Solution

The fourth proportional to 796.84, 1,098.96 and 610 is: 841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.84 : 1,098.96 = 610 : x
  2. Step 2: Convert to fraction form
    796.84/1,098.96 = 610/x
  3. Step 3: Cross multiply
    796.84x = 1,098.96 × 610
  4. Step 4: Simplify right side
    796.84x = 670,365.60
  5. Step 5: Solve for x
    x = 670,365.60/796.84
  6. Step 6: Final answer
    x = 841.28

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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.