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Finding the Fourth Proportional to 1,446.06, 1,995.83 and 856.89

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Solution

The fourth proportional to 1,446.06, 1,995.83 and 856.89 is: 1,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.06 : 1,995.83 = 856.89 : x
  2. Step 2: Convert to fraction form
    1,446.06/1,995.83 = 856.89/x
  3. Step 3: Cross multiply
    1,446.06x = 1,995.83 × 856.89
  4. Step 4: Simplify right side
    1,446.06x = 1,710,202.48
  5. Step 5: Solve for x
    x = 1,710,202.48/1,446.06
  6. Step 6: Final answer
    x = 1,182.66

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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.