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Finding the Fourth Proportional to 1,098.20, 1,646.68 and 367.60

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Solution

The fourth proportional to 1,098.20, 1,646.68 and 367.60 is: 551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.20 : 1,646.68 = 367.60 : x
  2. Step 2: Convert to fraction form
    1,098.20/1,646.68 = 367.60/x
  3. Step 3: Cross multiply
    1,098.20x = 1,646.68 × 367.60
  4. Step 4: Simplify right side
    1,098.20x = 605,319.57
  5. Step 5: Solve for x
    x = 605,319.57/1,098.20
  6. Step 6: Final answer
    x = 551.19

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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.