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Finding the Fourth Proportional to 786.35, 1,077.94 and 772.37

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Solution

The fourth proportional to 786.35, 1,077.94 and 772.37 is: 1,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.35 : 1,077.94 = 772.37 : x
  2. Step 2: Convert to fraction form
    786.35/1,077.94 = 772.37/x
  3. Step 3: Cross multiply
    786.35x = 1,077.94 × 772.37
  4. Step 4: Simplify right side
    786.35x = 832,568.52
  5. Step 5: Solve for x
    x = 832,568.52/786.35
  6. Step 6: Final answer
    x = 1,058.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.