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Finding the Fourth Proportional to 1,431.75, 2,147.75 and 405.75

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Solution

The fourth proportional to 1,431.75, 2,147.75 and 405.75 is: 608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.75 : 2,147.75 = 405.75 : x
  2. Step 2: Convert to fraction form
    1,431.75/2,147.75 = 405.75/x
  3. Step 3: Cross multiply
    1,431.75x = 2,147.75 × 405.75
  4. Step 4: Simplify right side
    1,431.75x = 871,449.56
  5. Step 5: Solve for x
    x = 871,449.56/1,431.75
  6. Step 6: Final answer
    x = 608.66

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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.