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Finding the Fourth Proportional to 853.97, 1,274.29 and 762.03

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Solution

The fourth proportional to 853.97, 1,274.29 and 762.03 is: 1,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.97 : 1,274.29 = 762.03 : x
  2. Step 2: Convert to fraction form
    853.97/1,274.29 = 762.03/x
  3. Step 3: Cross multiply
    853.97x = 1,274.29 × 762.03
  4. Step 4: Simplify right side
    853.97x = 971,047.21
  5. Step 5: Solve for x
    x = 971,047.21/853.97
  6. Step 6: Final answer
    x = 1,137.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.