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Finding the Fourth Proportional to 1,193.50, 1,647.03 and 669.53

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Solution

The fourth proportional to 1,193.50, 1,647.03 and 669.53 is: 923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.50 : 1,647.03 = 669.53 : x
  2. Step 2: Convert to fraction form
    1,193.50/1,647.03 = 669.53/x
  3. Step 3: Cross multiply
    1,193.50x = 1,647.03 × 669.53
  4. Step 4: Simplify right side
    1,193.50x = 1,102,736.00
  5. Step 5: Solve for x
    x = 1,102,736.00/1,193.50
  6. Step 6: Final answer
    x = 923.95

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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.