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Finding the Fourth Proportional to 1,171.28, 1,755.66 and 594.20

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Solution

The fourth proportional to 1,171.28, 1,755.66 and 594.20 is: 890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.28 : 1,755.66 = 594.20 : x
  2. Step 2: Convert to fraction form
    1,171.28/1,755.66 = 594.20/x
  3. Step 3: Cross multiply
    1,171.28x = 1,755.66 × 594.20
  4. Step 4: Simplify right side
    1,171.28x = 1,043,213.17
  5. Step 5: Solve for x
    x = 1,043,213.17/1,171.28
  6. Step 6: Final answer
    x = 890.66

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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.