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Finding the Fourth Proportional to 1,243.48, 1,715.89 and 683.94

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Solution

The fourth proportional to 1,243.48, 1,715.89 and 683.94 is: 943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.48 : 1,715.89 = 683.94 : x
  2. Step 2: Convert to fraction form
    1,243.48/1,715.89 = 683.94/x
  3. Step 3: Cross multiply
    1,243.48x = 1,715.89 × 683.94
  4. Step 4: Simplify right side
    1,243.48x = 1,173,564.10
  5. Step 5: Solve for x
    x = 1,173,564.10/1,243.48
  6. Step 6: Final answer
    x = 943.78

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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.