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Finding the Fourth Proportional to 853.70, 1,282.35 and 823.10

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Solution

The fourth proportional to 853.70, 1,282.35 and 823.10 is: 1,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.70 : 1,282.35 = 823.10 : x
  2. Step 2: Convert to fraction form
    853.70/1,282.35 = 823.10/x
  3. Step 3: Cross multiply
    853.70x = 1,282.35 × 823.10
  4. Step 4: Simplify right side
    853.70x = 1,055,502.29
  5. Step 5: Solve for x
    x = 1,055,502.29/853.70
  6. Step 6: Final answer
    x = 1,236.39

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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.