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Finding the Fourth Proportional to 1,291.33, 1,782.03 and 767.36

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Solution

The fourth proportional to 1,291.33, 1,782.03 and 767.36 is: 1,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.33 : 1,782.03 = 767.36 : x
  2. Step 2: Convert to fraction form
    1,291.33/1,782.03 = 767.36/x
  3. Step 3: Cross multiply
    1,291.33x = 1,782.03 × 767.36
  4. Step 4: Simplify right side
    1,291.33x = 1,367,458.54
  5. Step 5: Solve for x
    x = 1,367,458.54/1,291.33
  6. Step 6: Final answer
    x = 1,058.96

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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.