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Finding the Fourth Proportional to 855.22, 1,179.84 and 505.84

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Solution

The fourth proportional to 855.22, 1,179.84 and 505.84 is: 697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.22 : 1,179.84 = 505.84 : x
  2. Step 2: Convert to fraction form
    855.22/1,179.84 = 505.84/x
  3. Step 3: Cross multiply
    855.22x = 1,179.84 × 505.84
  4. Step 4: Simplify right side
    855.22x = 596,810.27
  5. Step 5: Solve for x
    x = 596,810.27/855.22
  6. Step 6: Final answer
    x = 697.84

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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.