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Finding the Fourth Proportional to 1,291.36, 1,782.32 and 767.56

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Solution

The fourth proportional to 1,291.36, 1,782.32 and 767.56 is: 1,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.36 : 1,782.32 = 767.56 : x
  2. Step 2: Convert to fraction form
    1,291.36/1,782.32 = 767.56/x
  3. Step 3: Cross multiply
    1,291.36x = 1,782.32 × 767.56
  4. Step 4: Simplify right side
    1,291.36x = 1,368,037.54
  5. Step 5: Solve for x
    x = 1,368,037.54/1,291.36
  6. Step 6: Final answer
    x = 1,059.38

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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.