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Finding the Fourth Proportional to 1,351, 2,027.31 and 581.50

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Solution

The fourth proportional to 1,351, 2,027.31 and 581.50 is: 872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351 : 2,027.31 = 581.50 : x
  2. Step 2: Convert to fraction form
    1,351/2,027.31 = 581.50/x
  3. Step 3: Cross multiply
    1,351x = 2,027.31 × 581.50
  4. Step 4: Simplify right side
    1,351x = 1,178,880.77
  5. Step 5: Solve for x
    x = 1,178,880.77/1,351
  6. Step 6: Final answer
    x = 872.60

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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.