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Finding the Fourth Proportional to 1,337.94, 1,846.54 and 806.85

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Solution

The fourth proportional to 1,337.94, 1,846.54 and 806.85 is: 1,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.94 : 1,846.54 = 806.85 : x
  2. Step 2: Convert to fraction form
    1,337.94/1,846.54 = 806.85/x
  3. Step 3: Cross multiply
    1,337.94x = 1,846.54 × 806.85
  4. Step 4: Simplify right side
    1,337.94x = 1,489,881.81
  5. Step 5: Solve for x
    x = 1,489,881.81/1,337.94
  6. Step 6: Final answer
    x = 1,113.56

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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.