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Finding the Fourth Proportional to 1,311.53, 1,809.97 and 722.06

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Solution

The fourth proportional to 1,311.53, 1,809.97 and 722.06 is: 996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.53 : 1,809.97 = 722.06 : x
  2. Step 2: Convert to fraction form
    1,311.53/1,809.97 = 722.06/x
  3. Step 3: Cross multiply
    1,311.53x = 1,809.97 × 722.06
  4. Step 4: Simplify right side
    1,311.53x = 1,306,896.08
  5. Step 5: Solve for x
    x = 1,306,896.08/1,311.53
  6. Step 6: Final answer
    x = 996.46

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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.