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Finding the Fourth Proportional to 1,309.97, 1,807.85 and 720.56

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Solution

The fourth proportional to 1,309.97, 1,807.85 and 720.56 is: 994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.97 : 1,807.85 = 720.56 : x
  2. Step 2: Convert to fraction form
    1,309.97/1,807.85 = 720.56/x
  3. Step 3: Cross multiply
    1,309.97x = 1,807.85 × 720.56
  4. Step 4: Simplify right side
    1,309.97x = 1,302,664.40
  5. Step 5: Solve for x
    x = 1,302,664.40/1,309.97
  6. Step 6: Final answer
    x = 994.42

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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.