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Finding the Fourth Proportional to 1,243.49, 1,716.02 and 683.99

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Solution

The fourth proportional to 1,243.49, 1,716.02 and 683.99 is: 943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.49 : 1,716.02 = 683.99 : x
  2. Step 2: Convert to fraction form
    1,243.49/1,716.02 = 683.99/x
  3. Step 3: Cross multiply
    1,243.49x = 1,716.02 × 683.99
  4. Step 4: Simplify right side
    1,243.49x = 1,173,737.10
  5. Step 5: Solve for x
    x = 1,173,737.10/1,243.49
  6. Step 6: Final answer
    x = 943.91

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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.