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Finding the Fourth Proportional to 1,169.28, 1,754.94 and 476.33

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Solution

The fourth proportional to 1,169.28, 1,754.94 and 476.33 is: 714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.28 : 1,754.94 = 476.33 : x
  2. Step 2: Convert to fraction form
    1,169.28/1,754.94 = 476.33/x
  3. Step 3: Cross multiply
    1,169.28x = 1,754.94 × 476.33
  4. Step 4: Simplify right side
    1,169.28x = 835,921.80
  5. Step 5: Solve for x
    x = 835,921.80/1,169.28
  6. Step 6: Final answer
    x = 714.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.