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Finding the Fourth Proportional to 1,183.27, 1,774.91 and 317.61

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Solution

The fourth proportional to 1,183.27, 1,774.91 and 317.61 is: 476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.27 : 1,774.91 = 317.61 : x
  2. Step 2: Convert to fraction form
    1,183.27/1,774.91 = 317.61/x
  3. Step 3: Cross multiply
    1,183.27x = 1,774.91 × 317.61
  4. Step 4: Simplify right side
    1,183.27x = 563,718.70
  5. Step 5: Solve for x
    x = 563,718.70/1,183.27
  6. Step 6: Final answer
    x = 476.41

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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.