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Finding the Fourth Proportional to 1,239.39, 1,709.77 and 741.94

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Solution

The fourth proportional to 1,239.39, 1,709.77 and 741.94 is: 1,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.39 : 1,709.77 = 741.94 : x
  2. Step 2: Convert to fraction form
    1,239.39/1,709.77 = 741.94/x
  3. Step 3: Cross multiply
    1,239.39x = 1,709.77 × 741.94
  4. Step 4: Simplify right side
    1,239.39x = 1,268,540.20
  5. Step 5: Solve for x
    x = 1,268,540.20/1,239.39
  6. Step 6: Final answer
    x = 1,023.52

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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.