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Finding the Fourth Proportional to 1,071.14, 1,608.30 and 659.09

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Solution

The fourth proportional to 1,071.14, 1,608.30 and 659.09 is: 989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.14 : 1,608.30 = 659.09 : x
  2. Step 2: Convert to fraction form
    1,071.14/1,608.30 = 659.09/x
  3. Step 3: Cross multiply
    1,071.14x = 1,608.30 × 659.09
  4. Step 4: Simplify right side
    1,071.14x = 1,060,014.45
  5. Step 5: Solve for x
    x = 1,060,014.45/1,071.14
  6. Step 6: Final answer
    x = 989.61

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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.