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Finding the Fourth Proportional to 1,149.53, 1,724.40 and 369.60

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Solution

The fourth proportional to 1,149.53, 1,724.40 and 369.60 is: 554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.53 : 1,724.40 = 369.60 : x
  2. Step 2: Convert to fraction form
    1,149.53/1,724.40 = 369.60/x
  3. Step 3: Cross multiply
    1,149.53x = 1,724.40 × 369.60
  4. Step 4: Simplify right side
    1,149.53x = 637,344.71
  5. Step 5: Solve for x
    x = 637,344.71/1,149.53
  6. Step 6: Final answer
    x = 554.44

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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.