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Finding the Fourth Proportional to 1,238.09, 1,706.32 and 1,202.55

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Solution

The fourth proportional to 1,238.09, 1,706.32 and 1,202.55 is: 1,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.09 : 1,706.32 = 1,202.55 : x
  2. Step 2: Convert to fraction form
    1,238.09/1,706.32 = 1,202.55/x
  3. Step 3: Cross multiply
    1,238.09x = 1,706.32 × 1,202.55
  4. Step 4: Simplify right side
    1,238.09x = 2,051,923.46
  5. Step 5: Solve for x
    x = 2,051,923.46/1,238.09
  6. Step 6: Final answer
    x = 1,657.34

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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.