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Finding the Fourth Proportional to 1,408.26, 1,942.61 and 818.73

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Solution

The fourth proportional to 1,408.26, 1,942.61 and 818.73 is: 1,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.26 : 1,942.61 = 818.73 : x
  2. Step 2: Convert to fraction form
    1,408.26/1,942.61 = 818.73/x
  3. Step 3: Cross multiply
    1,408.26x = 1,942.61 × 818.73
  4. Step 4: Simplify right side
    1,408.26x = 1,590,465.42
  5. Step 5: Solve for x
    x = 1,590,465.42/1,408.26
  6. Step 6: Final answer
    x = 1,129.39

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1.5x scale

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.