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Finding the Fourth Proportional to 944.29, 1,419.50 and 581.38

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Solution

The fourth proportional to 944.29, 1,419.50 and 581.38 is: 873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.29 : 1,419.50 = 581.38 : x
  2. Step 2: Convert to fraction form
    944.29/1,419.50 = 581.38/x
  3. Step 3: Cross multiply
    944.29x = 1,419.50 × 581.38
  4. Step 4: Simplify right side
    944.29x = 825,266.81
  5. Step 5: Solve for x
    x = 825,266.81/944.29
  6. Step 6: Final answer
    x = 873.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.