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Finding the Fourth Proportional to 853.98, 1,178.45 and 559.74

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Solution

The fourth proportional to 853.98, 1,178.45 and 559.74 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.98 : 1,178.45 = 559.74 : x
  2. Step 2: Convert to fraction form
    853.98/1,178.45 = 559.74/x
  3. Step 3: Cross multiply
    853.98x = 1,178.45 × 559.74
  4. Step 4: Simplify right side
    853.98x = 659,629.32
  5. Step 5: Solve for x
    x = 659,629.32/853.98
  6. Step 6: Final answer
    x = 772.42

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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.