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Finding the Fourth Proportional to 853.96, 1,178.58 and 504.70

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Solution

The fourth proportional to 853.96, 1,178.58 and 504.70 is: 696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.96 : 1,178.58 = 504.70 : x
  2. Step 2: Convert to fraction form
    853.96/1,178.58 = 504.70/x
  3. Step 3: Cross multiply
    853.96x = 1,178.58 × 504.70
  4. Step 4: Simplify right side
    853.96x = 594,829.33
  5. Step 5: Solve for x
    x = 594,829.33/853.96
  6. Step 6: Final answer
    x = 696.55

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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.