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Finding the Fourth Proportional to 853.88, 1,271.61 and 835.65

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Solution

The fourth proportional to 853.88, 1,271.61 and 835.65 is: 1,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,271.61 = 835.65 : x
  2. Step 2: Convert to fraction form
    853.88/1,271.61 = 835.65/x
  3. Step 3: Cross multiply
    853.88x = 1,271.61 × 835.65
  4. Step 4: Simplify right side
    853.88x = 1,062,620.90
  5. Step 5: Solve for x
    x = 1,062,620.90/853.88
  6. Step 6: Final answer
    x = 1,244.47

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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.