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Finding the Fourth Proportional to 1,443.50, 1,992.04 and 822.50

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Solution

The fourth proportional to 1,443.50, 1,992.04 and 822.50 is: 1,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.50 : 1,992.04 = 822.50 : x
  2. Step 2: Convert to fraction form
    1,443.50/1,992.04 = 822.50/x
  3. Step 3: Cross multiply
    1,443.50x = 1,992.04 × 822.50
  4. Step 4: Simplify right side
    1,443.50x = 1,638,452.90
  5. Step 5: Solve for x
    x = 1,638,452.90/1,443.50
  6. Step 6: Final answer
    x = 1,135.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.