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Finding the Fourth Proportional to 1,193.14, 1,646.56 and 669.17

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Solution

The fourth proportional to 1,193.14, 1,646.56 and 669.17 is: 923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.14 : 1,646.56 = 669.17 : x
  2. Step 2: Convert to fraction form
    1,193.14/1,646.56 = 669.17/x
  3. Step 3: Cross multiply
    1,193.14x = 1,646.56 × 669.17
  4. Step 4: Simplify right side
    1,193.14x = 1,101,828.56
  5. Step 5: Solve for x
    x = 1,101,828.56/1,193.14
  6. Step 6: Final answer
    x = 923.47

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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.