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Finding the Fourth Proportional to 1,193.12, 1,646.50 and 669.15

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Solution

The fourth proportional to 1,193.12, 1,646.50 and 669.15 is: 923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.12 : 1,646.50 = 669.15 : x
  2. Step 2: Convert to fraction form
    1,193.12/1,646.50 = 669.15/x
  3. Step 3: Cross multiply
    1,193.12x = 1,646.50 × 669.15
  4. Step 4: Simplify right side
    1,193.12x = 1,101,755.48
  5. Step 5: Solve for x
    x = 1,101,755.48/1,193.12
  6. Step 6: Final answer
    x = 923.43

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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.