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Finding the Fourth Proportional to 1,408.55, 1,942.85 and 848.43

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Solution

The fourth proportional to 1,408.55, 1,942.85 and 848.43 is: 1,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.55 : 1,942.85 = 848.43 : x
  2. Step 2: Convert to fraction form
    1,408.55/1,942.85 = 848.43/x
  3. Step 3: Cross multiply
    1,408.55x = 1,942.85 × 848.43
  4. Step 4: Simplify right side
    1,408.55x = 1,648,374.35
  5. Step 5: Solve for x
    x = 1,648,374.35/1,408.55
  6. Step 6: Final answer
    x = 1,170.27

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