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Finding the Fourth Proportional to 1,443.24, 2,165.27 and 469.22

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Solution

The fourth proportional to 1,443.24, 2,165.27 and 469.22 is: 703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.24 : 2,165.27 = 469.22 : x
  2. Step 2: Convert to fraction form
    1,443.24/2,165.27 = 469.22/x
  3. Step 3: Cross multiply
    1,443.24x = 2,165.27 × 469.22
  4. Step 4: Simplify right side
    1,443.24x = 1,015,974.82
  5. Step 5: Solve for x
    x = 1,015,974.82/1,443.24
  6. Step 6: Final answer
    x = 703.95

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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.