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Finding the Fourth Proportional to 853.84, 1,271.93 and 828.03

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Solution

The fourth proportional to 853.84, 1,271.93 and 828.03 is: 1,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.84 : 1,271.93 = 828.03 : x
  2. Step 2: Convert to fraction form
    853.84/1,271.93 = 828.03/x
  3. Step 3: Cross multiply
    853.84x = 1,271.93 × 828.03
  4. Step 4: Simplify right side
    853.84x = 1,053,196.12
  5. Step 5: Solve for x
    x = 1,053,196.12/853.84
  6. Step 6: Final answer
    x = 1,233.48

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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.