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Finding the Fourth Proportional to 1,443.52, 1,992.06 and 822.52

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Solution

The fourth proportional to 1,443.52, 1,992.06 and 822.52 is: 1,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.52 : 1,992.06 = 822.52 : x
  2. Step 2: Convert to fraction form
    1,443.52/1,992.06 = 822.52/x
  3. Step 3: Cross multiply
    1,443.52x = 1,992.06 × 822.52
  4. Step 4: Simplify right side
    1,443.52x = 1,638,509.19
  5. Step 5: Solve for x
    x = 1,638,509.19/1,443.52
  6. Step 6: Final answer
    x = 1,135.08

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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.