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Finding the Fourth Proportional to 954.05, 1,316.61 and 580.97

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Solution

The fourth proportional to 954.05, 1,316.61 and 580.97 is: 801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.05 : 1,316.61 = 580.97 : x
  2. Step 2: Convert to fraction form
    954.05/1,316.61 = 580.97/x
  3. Step 3: Cross multiply
    954.05x = 1,316.61 × 580.97
  4. Step 4: Simplify right side
    954.05x = 764,910.91
  5. Step 5: Solve for x
    x = 764,910.91/954.05
  6. Step 6: Final answer
    x = 801.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.