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Finding the Fourth Proportional to 1,217.32, 1,823.25 and 853.73

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Solution

The fourth proportional to 1,217.32, 1,823.25 and 853.73 is: 1,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.32 : 1,823.25 = 853.73 : x
  2. Step 2: Convert to fraction form
    1,217.32/1,823.25 = 853.73/x
  3. Step 3: Cross multiply
    1,217.32x = 1,823.25 × 853.73
  4. Step 4: Simplify right side
    1,217.32x = 1,556,558.95
  5. Step 5: Solve for x
    x = 1,556,558.95/1,217.32
  6. Step 6: Final answer
    x = 1,278.68

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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.