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Finding the Fourth Proportional to 1,284.28, 1,771.84 and 842.44

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Solution

The fourth proportional to 1,284.28, 1,771.84 and 842.44 is: 1,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.28 : 1,771.84 = 842.44 : x
  2. Step 2: Convert to fraction form
    1,284.28/1,771.84 = 842.44/x
  3. Step 3: Cross multiply
    1,284.28x = 1,771.84 × 842.44
  4. Step 4: Simplify right side
    1,284.28x = 1,492,668.89
  5. Step 5: Solve for x
    x = 1,492,668.89/1,284.28
  6. Step 6: Final answer
    x = 1,162.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.