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Finding the Fourth Proportional to 1,254.82, 1,730.10 and 959.62

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Solution

The fourth proportional to 1,254.82, 1,730.10 and 959.62 is: 1,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.82 : 1,730.10 = 959.62 : x
  2. Step 2: Convert to fraction form
    1,254.82/1,730.10 = 959.62/x
  3. Step 3: Cross multiply
    1,254.82x = 1,730.10 × 959.62
  4. Step 4: Simplify right side
    1,254.82x = 1,660,238.56
  5. Step 5: Solve for x
    x = 1,660,238.56/1,254.82
  6. Step 6: Final answer
    x = 1,323.09

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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.