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Finding the Fourth Proportional to 1,102.38, 1,522.22 and 788.62

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Solution

The fourth proportional to 1,102.38, 1,522.22 and 788.62 is: 1,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.38 : 1,522.22 = 788.62 : x
  2. Step 2: Convert to fraction form
    1,102.38/1,522.22 = 788.62/x
  3. Step 3: Cross multiply
    1,102.38x = 1,522.22 × 788.62
  4. Step 4: Simplify right side
    1,102.38x = 1,200,453.14
  5. Step 5: Solve for x
    x = 1,200,453.14/1,102.38
  6. Step 6: Final answer
    x = 1,088.96

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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.