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Finding the Fourth Proportional to 1,336.80, 1,844.73 and 777.29

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Solution

The fourth proportional to 1,336.80, 1,844.73 and 777.29 is: 1,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.80 : 1,844.73 = 777.29 : x
  2. Step 2: Convert to fraction form
    1,336.80/1,844.73 = 777.29/x
  3. Step 3: Cross multiply
    1,336.80x = 1,844.73 × 777.29
  4. Step 4: Simplify right side
    1,336.80x = 1,433,880.96
  5. Step 5: Solve for x
    x = 1,433,880.96/1,336.80
  6. Step 6: Final answer
    x = 1,072.62

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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.