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Finding the Fourth Proportional to 1,284.18, 1,926.82 and 822.48

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Solution

The fourth proportional to 1,284.18, 1,926.82 and 822.48 is: 1,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.18 : 1,926.82 = 822.48 : x
  2. Step 2: Convert to fraction form
    1,284.18/1,926.82 = 822.48/x
  3. Step 3: Cross multiply
    1,284.18x = 1,926.82 × 822.48
  4. Step 4: Simplify right side
    1,284.18x = 1,584,770.91
  5. Step 5: Solve for x
    x = 1,584,770.91/1,284.18
  6. Step 6: Final answer
    x = 1,234.07

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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.