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Finding the Fourth Proportional to 947.41, 1,419.55 and 581.42

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Solution

The fourth proportional to 947.41, 1,419.55 and 581.42 is: 871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.41 : 1,419.55 = 581.42 : x
  2. Step 2: Convert to fraction form
    947.41/1,419.55 = 581.42/x
  3. Step 3: Cross multiply
    947.41x = 1,419.55 × 581.42
  4. Step 4: Simplify right side
    947.41x = 825,354.76
  5. Step 5: Solve for x
    x = 825,354.76/947.41
  6. Step 6: Final answer
    x = 871.17

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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.