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Finding the Fourth Proportional to 1,181.48, 1,771.59 and 359.27

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Solution

The fourth proportional to 1,181.48, 1,771.59 and 359.27 is: 538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.48 : 1,771.59 = 359.27 : x
  2. Step 2: Convert to fraction form
    1,181.48/1,771.59 = 359.27/x
  3. Step 3: Cross multiply
    1,181.48x = 1,771.59 × 359.27
  4. Step 4: Simplify right side
    1,181.48x = 636,470.28
  5. Step 5: Solve for x
    x = 636,470.28/1,181.48
  6. Step 6: Final answer
    x = 538.71

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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.