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Finding the Fourth Proportional to 1,446.30, 1,996.20 and 856.98

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Solution

The fourth proportional to 1,446.30, 1,996.20 and 856.98 is: 1,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.30 : 1,996.20 = 856.98 : x
  2. Step 2: Convert to fraction form
    1,446.30/1,996.20 = 856.98/x
  3. Step 3: Cross multiply
    1,446.30x = 1,996.20 × 856.98
  4. Step 4: Simplify right side
    1,446.30x = 1,710,703.48
  5. Step 5: Solve for x
    x = 1,710,703.48/1,446.30
  6. Step 6: Final answer
    x = 1,182.81

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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.