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Finding the Fourth Proportional to 1,328.53, 1,992.93 and 548.86

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Solution

The fourth proportional to 1,328.53, 1,992.93 and 548.86 is: 823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.53 : 1,992.93 = 548.86 : x
  2. Step 2: Convert to fraction form
    1,328.53/1,992.93 = 548.86/x
  3. Step 3: Cross multiply
    1,328.53x = 1,992.93 × 548.86
  4. Step 4: Simplify right side
    1,328.53x = 1,093,839.56
  5. Step 5: Solve for x
    x = 1,093,839.56/1,328.53
  6. Step 6: Final answer
    x = 823.35

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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.