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Finding the Fourth Proportional to 1,183.69, 1,775.48 and 318

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Solution

The fourth proportional to 1,183.69, 1,775.48 and 318 is: 476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.69 : 1,775.48 = 318 : x
  2. Step 2: Convert to fraction form
    1,183.69/1,775.48 = 318/x
  3. Step 3: Cross multiply
    1,183.69x = 1,775.48 × 318
  4. Step 4: Simplify right side
    1,183.69x = 564,602.64
  5. Step 5: Solve for x
    x = 564,602.64/1,183.69
  6. Step 6: Final answer
    x = 476.99

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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.