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Finding the Fourth Proportional to 853.65, 1,178.28 and 504.54

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Solution

The fourth proportional to 853.65, 1,178.28 and 504.54 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.65 : 1,178.28 = 504.54 : x
  2. Step 2: Convert to fraction form
    853.65/1,178.28 = 504.54/x
  3. Step 3: Cross multiply
    853.65x = 1,178.28 × 504.54
  4. Step 4: Simplify right side
    853.65x = 594,489.39
  5. Step 5: Solve for x
    x = 594,489.39/853.65
  6. Step 6: Final answer
    x = 696.41

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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.