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Finding the Fourth Proportional to 1,446.17, 1,996.04 and 848.93

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Solution

The fourth proportional to 1,446.17, 1,996.04 and 848.93 is: 1,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.17 : 1,996.04 = 848.93 : x
  2. Step 2: Convert to fraction form
    1,446.17/1,996.04 = 848.93/x
  3. Step 3: Cross multiply
    1,446.17x = 1,996.04 × 848.93
  4. Step 4: Simplify right side
    1,446.17x = 1,694,498.24
  5. Step 5: Solve for x
    x = 1,694,498.24/1,446.17
  6. Step 6: Final answer
    x = 1,171.71

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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.