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Finding the Fourth Proportional to 1,203.02, 1,659.57 and 936.99

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Solution

The fourth proportional to 1,203.02, 1,659.57 and 936.99 is: 1,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.02 : 1,659.57 = 936.99 : x
  2. Step 2: Convert to fraction form
    1,203.02/1,659.57 = 936.99/x
  3. Step 3: Cross multiply
    1,203.02x = 1,659.57 × 936.99
  4. Step 4: Simplify right side
    1,203.02x = 1,555,000.49
  5. Step 5: Solve for x
    x = 1,555,000.49/1,203.02
  6. Step 6: Final answer
    x = 1,292.59

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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.