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Finding the Fourth Proportional to 1,238.09, 1,708.34 and 706.73

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Solution

The fourth proportional to 1,238.09, 1,708.34 and 706.73 is: 975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.09 : 1,708.34 = 706.73 : x
  2. Step 2: Convert to fraction form
    1,238.09/1,708.34 = 706.73/x
  3. Step 3: Cross multiply
    1,238.09x = 1,708.34 × 706.73
  4. Step 4: Simplify right side
    1,238.09x = 1,207,327.03
  5. Step 5: Solve for x
    x = 1,207,327.03/1,238.09
  6. Step 6: Final answer
    x = 975.16

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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.