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Finding the Fourth Proportional to 1,104.42, 1,522.49 and 771.81

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Solution

The fourth proportional to 1,104.42, 1,522.49 and 771.81 is: 1,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.42 : 1,522.49 = 771.81 : x
  2. Step 2: Convert to fraction form
    1,104.42/1,522.49 = 771.81/x
  3. Step 3: Cross multiply
    1,104.42x = 1,522.49 × 771.81
  4. Step 4: Simplify right side
    1,104.42x = 1,175,071.08
  5. Step 5: Solve for x
    x = 1,175,071.08/1,104.42
  6. Step 6: Final answer
    x = 1,063.97

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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.