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Finding the Fourth Proportional to 1,326.82, 1,987.35 and 960.82

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Solution

The fourth proportional to 1,326.82, 1,987.35 and 960.82 is: 1,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.82 : 1,987.35 = 960.82 : x
  2. Step 2: Convert to fraction form
    1,326.82/1,987.35 = 960.82/x
  3. Step 3: Cross multiply
    1,326.82x = 1,987.35 × 960.82
  4. Step 4: Simplify right side
    1,326.82x = 1,909,485.63
  5. Step 5: Solve for x
    x = 1,909,485.63/1,326.82
  6. Step 6: Final answer
    x = 1,439.14

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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.