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Finding the Fourth Proportional to 855.06, 1,179.78 and 656.13

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Solution

The fourth proportional to 855.06, 1,179.78 and 656.13 is: 905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.06 : 1,179.78 = 656.13 : x
  2. Step 2: Convert to fraction form
    855.06/1,179.78 = 656.13/x
  3. Step 3: Cross multiply
    855.06x = 1,179.78 × 656.13
  4. Step 4: Simplify right side
    855.06x = 774,089.05
  5. Step 5: Solve for x
    x = 774,089.05/855.06
  6. Step 6: Final answer
    x = 905.30

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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.