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Finding the Fourth Proportional to 1,446.12, 1,995.52 and 856.56

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Solution

The fourth proportional to 1,446.12, 1,995.52 and 856.56 is: 1,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.12 : 1,995.52 = 856.56 : x
  2. Step 2: Convert to fraction form
    1,446.12/1,995.52 = 856.56/x
  3. Step 3: Cross multiply
    1,446.12x = 1,995.52 × 856.56
  4. Step 4: Simplify right side
    1,446.12x = 1,709,282.61
  5. Step 5: Solve for x
    x = 1,709,282.61/1,446.12
  6. Step 6: Final answer
    x = 1,181.98

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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.