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Finding the Fourth Proportional to 1,243.77, 1,716.57 and 719.84

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Solution

The fourth proportional to 1,243.77, 1,716.57 and 719.84 is: 993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.77 : 1,716.57 = 719.84 : x
  2. Step 2: Convert to fraction form
    1,243.77/1,716.57 = 719.84/x
  3. Step 3: Cross multiply
    1,243.77x = 1,716.57 × 719.84
  4. Step 4: Simplify right side
    1,243.77x = 1,235,647.17
  5. Step 5: Solve for x
    x = 1,235,647.17/1,243.77
  6. Step 6: Final answer
    x = 993.47

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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.