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Finding the Fourth Proportional to 1,199.70, 1,654.94 and 806.04

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Solution

The fourth proportional to 1,199.70, 1,654.94 and 806.04 is: 1,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.70 : 1,654.94 = 806.04 : x
  2. Step 2: Convert to fraction form
    1,199.70/1,654.94 = 806.04/x
  3. Step 3: Cross multiply
    1,199.70x = 1,654.94 × 806.04
  4. Step 4: Simplify right side
    1,199.70x = 1,333,943.81
  5. Step 5: Solve for x
    x = 1,333,943.81/1,199.70
  6. Step 6: Final answer
    x = 1,111.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.