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Finding the Fourth Proportional to 853.88, 1,178.43 and 504.50

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Solution

The fourth proportional to 853.88, 1,178.43 and 504.50 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,178.43 = 504.50 : x
  2. Step 2: Convert to fraction form
    853.88/1,178.43 = 504.50/x
  3. Step 3: Cross multiply
    853.88x = 1,178.43 × 504.50
  4. Step 4: Simplify right side
    853.88x = 594,517.94
  5. Step 5: Solve for x
    x = 594,517.94/853.88
  6. Step 6: Final answer
    x = 696.25

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1.5x scale

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.