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Finding the Fourth Proportional to 853.26, 1,278.80 and 468.06

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Solution

The fourth proportional to 853.26, 1,278.80 and 468.06 is: 701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.26 : 1,278.80 = 468.06 : x
  2. Step 2: Convert to fraction form
    853.26/1,278.80 = 468.06/x
  3. Step 3: Cross multiply
    853.26x = 1,278.80 × 468.06
  4. Step 4: Simplify right side
    853.26x = 598,555.13
  5. Step 5: Solve for x
    x = 598,555.13/853.26
  6. Step 6: Final answer
    x = 701.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.