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Finding the Fourth Proportional to 855.09, 1,176.98 and 766.26

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Solution

The fourth proportional to 855.09, 1,176.98 and 766.26 is: 1,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.09 : 1,176.98 = 766.26 : x
  2. Step 2: Convert to fraction form
    855.09/1,176.98 = 766.26/x
  3. Step 3: Cross multiply
    855.09x = 1,176.98 × 766.26
  4. Step 4: Simplify right side
    855.09x = 901,868.86
  5. Step 5: Solve for x
    x = 901,868.86/855.09
  6. Step 6: Final answer
    x = 1,054.71

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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.