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Finding the Fourth Proportional to 1,255.88, 1,731.64 and 1,019.09

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Solution

The fourth proportional to 1,255.88, 1,731.64 and 1,019.09 is: 1,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.88 : 1,731.64 = 1,019.09 : x
  2. Step 2: Convert to fraction form
    1,255.88/1,731.64 = 1,019.09/x
  3. Step 3: Cross multiply
    1,255.88x = 1,731.64 × 1,019.09
  4. Step 4: Simplify right side
    1,255.88x = 1,764,689.96
  5. Step 5: Solve for x
    x = 1,764,689.96/1,255.88
  6. Step 6: Final answer
    x = 1,405.14

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Why These Related Problems?

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