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Finding the Fourth Proportional to 1,238.74, 1,708.92 and 790.48

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Solution

The fourth proportional to 1,238.74, 1,708.92 and 790.48 is: 1,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.74 : 1,708.92 = 790.48 : x
  2. Step 2: Convert to fraction form
    1,238.74/1,708.92 = 790.48/x
  3. Step 3: Cross multiply
    1,238.74x = 1,708.92 × 790.48
  4. Step 4: Simplify right side
    1,238.74x = 1,350,867.08
  5. Step 5: Solve for x
    x = 1,350,867.08/1,238.74
  6. Step 6: Final answer
    x = 1,090.52

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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.