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Finding the Fourth Proportional to 1,446.76, 1,996.27 and 857.35

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Solution

The fourth proportional to 1,446.76, 1,996.27 and 857.35 is: 1,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.76 : 1,996.27 = 857.35 : x
  2. Step 2: Convert to fraction form
    1,446.76/1,996.27 = 857.35/x
  3. Step 3: Cross multiply
    1,446.76x = 1,996.27 × 857.35
  4. Step 4: Simplify right side
    1,446.76x = 1,711,502.08
  5. Step 5: Solve for x
    x = 1,711,502.08/1,446.76
  6. Step 6: Final answer
    x = 1,182.99

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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.