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Finding the Fourth Proportional to 1,243.50, 1,716.03 and 683.95

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Solution

The fourth proportional to 1,243.50, 1,716.03 and 683.95 is: 943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.50 : 1,716.03 = 683.95 : x
  2. Step 2: Convert to fraction form
    1,243.50/1,716.03 = 683.95/x
  3. Step 3: Cross multiply
    1,243.50x = 1,716.03 × 683.95
  4. Step 4: Simplify right side
    1,243.50x = 1,173,675.30
  5. Step 5: Solve for x
    x = 1,173,675.30/1,243.50
  6. Step 6: Final answer
    x = 943.85

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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.