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Finding the Fourth Proportional to 1,183.28, 1,774.89 and 317.59

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Solution

The fourth proportional to 1,183.28, 1,774.89 and 317.59 is: 476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.28 : 1,774.89 = 317.59 : x
  2. Step 2: Convert to fraction form
    1,183.28/1,774.89 = 317.59/x
  3. Step 3: Cross multiply
    1,183.28x = 1,774.89 × 317.59
  4. Step 4: Simplify right side
    1,183.28x = 563,682.88
  5. Step 5: Solve for x
    x = 563,682.88/1,183.28
  6. Step 6: Final answer
    x = 476.38

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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.