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Finding the Fourth Proportional to 1,193.19, 1,646.49 and 669.27

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Solution

The fourth proportional to 1,193.19, 1,646.49 and 669.27 is: 923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.19 : 1,646.49 = 669.27 : x
  2. Step 2: Convert to fraction form
    1,193.19/1,646.49 = 669.27/x
  3. Step 3: Cross multiply
    1,193.19x = 1,646.49 × 669.27
  4. Step 4: Simplify right side
    1,193.19x = 1,101,946.36
  5. Step 5: Solve for x
    x = 1,101,946.36/1,193.19
  6. Step 6: Final answer
    x = 923.53

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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.