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Finding the Fourth Proportional to 1,338.35, 1,846.87 and 945.90

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Solution

The fourth proportional to 1,338.35, 1,846.87 and 945.90 is: 1,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.35 : 1,846.87 = 945.90 : x
  2. Step 2: Convert to fraction form
    1,338.35/1,846.87 = 945.90/x
  3. Step 3: Cross multiply
    1,338.35x = 1,846.87 × 945.90
  4. Step 4: Simplify right side
    1,338.35x = 1,746,951.97
  5. Step 5: Solve for x
    x = 1,746,951.97/1,338.35
  6. Step 6: Final answer
    x = 1,305.31

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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.