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Finding the Fourth Proportional to 1,243.74, 1,716.24 and 719.76

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Solution

The fourth proportional to 1,243.74, 1,716.24 and 719.76 is: 993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.74 : 1,716.24 = 719.76 : x
  2. Step 2: Convert to fraction form
    1,243.74/1,716.24 = 719.76/x
  3. Step 3: Cross multiply
    1,243.74x = 1,716.24 × 719.76
  4. Step 4: Simplify right side
    1,243.74x = 1,235,280.90
  5. Step 5: Solve for x
    x = 1,235,280.90/1,243.74
  6. Step 6: Final answer
    x = 993.20

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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.