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Finding the Fourth Proportional to 1,329.56, 1,993.60 and 549.33

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Solution

The fourth proportional to 1,329.56, 1,993.60 and 549.33 is: 823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.56 : 1,993.60 = 549.33 : x
  2. Step 2: Convert to fraction form
    1,329.56/1,993.60 = 549.33/x
  3. Step 3: Cross multiply
    1,329.56x = 1,993.60 × 549.33
  4. Step 4: Simplify right side
    1,329.56x = 1,095,142.91
  5. Step 5: Solve for x
    x = 1,095,142.91/1,329.56
  6. Step 6: Final answer
    x = 823.69

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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.