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Finding the Fourth Proportional to 1,193.28, 1,646.88 and 669.44

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Solution

The fourth proportional to 1,193.28, 1,646.88 and 669.44 is: 923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.28 : 1,646.88 = 669.44 : x
  2. Step 2: Convert to fraction form
    1,193.28/1,646.88 = 669.44/x
  3. Step 3: Cross multiply
    1,193.28x = 1,646.88 × 669.44
  4. Step 4: Simplify right side
    1,193.28x = 1,102,487.35
  5. Step 5: Solve for x
    x = 1,102,487.35/1,193.28
  6. Step 6: Final answer
    x = 923.91

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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.