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Finding the Fourth Proportional to 1,243.63, 1,716.24 and 712.68

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Solution

The fourth proportional to 1,243.63, 1,716.24 and 712.68 is: 983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.63 : 1,716.24 = 712.68 : x
  2. Step 2: Convert to fraction form
    1,243.63/1,716.24 = 712.68/x
  3. Step 3: Cross multiply
    1,243.63x = 1,716.24 × 712.68
  4. Step 4: Simplify right side
    1,243.63x = 1,223,132.69
  5. Step 5: Solve for x
    x = 1,223,132.69/1,243.63
  6. Step 6: Final answer
    x = 983.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.