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Finding the Fourth Proportional to 1,243.89, 1,716.62 and 719.93

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Solution

The fourth proportional to 1,243.89, 1,716.62 and 719.93 is: 993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.89 : 1,716.62 = 719.93 : x
  2. Step 2: Convert to fraction form
    1,243.89/1,716.62 = 719.93/x
  3. Step 3: Cross multiply
    1,243.89x = 1,716.62 × 719.93
  4. Step 4: Simplify right side
    1,243.89x = 1,235,834.05
  5. Step 5: Solve for x
    x = 1,235,834.05/1,243.89
  6. Step 6: Final answer
    x = 993.52

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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.