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Finding the Fourth Proportional to 1,098.18, 1,647.60 and 367.80

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Solution

The fourth proportional to 1,098.18, 1,647.60 and 367.80 is: 551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.18 : 1,647.60 = 367.80 : x
  2. Step 2: Convert to fraction form
    1,098.18/1,647.60 = 367.80/x
  3. Step 3: Cross multiply
    1,098.18x = 1,647.60 × 367.80
  4. Step 4: Simplify right side
    1,098.18x = 605,987.28
  5. Step 5: Solve for x
    x = 605,987.28/1,098.18
  6. Step 6: Final answer
    x = 551.81

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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.