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Finding the Fourth Proportional to 1,118, 1,675.23 and 908.74

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Solution

The fourth proportional to 1,118, 1,675.23 and 908.74 is: 1,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118 : 1,675.23 = 908.74 : x
  2. Step 2: Convert to fraction form
    1,118/1,675.23 = 908.74/x
  3. Step 3: Cross multiply
    1,118x = 1,675.23 × 908.74
  4. Step 4: Simplify right side
    1,118x = 1,522,348.51
  5. Step 5: Solve for x
    x = 1,522,348.51/1,118
  6. Step 6: Final answer
    x = 1,361.67

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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.