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Finding the Fourth Proportional to 853.98, 1,283.10 and 545.97

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Solution

The fourth proportional to 853.98, 1,283.10 and 545.97 is: 820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.98 : 1,283.10 = 545.97 : x
  2. Step 2: Convert to fraction form
    853.98/1,283.10 = 545.97/x
  3. Step 3: Cross multiply
    853.98x = 1,283.10 × 545.97
  4. Step 4: Simplify right side
    853.98x = 700,534.11
  5. Step 5: Solve for x
    x = 700,534.11/853.98
  6. Step 6: Final answer
    x = 820.32

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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.