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Finding the Fourth Proportional to 1,408.86, 1,944.10 and 911.93

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Solution

The fourth proportional to 1,408.86, 1,944.10 and 911.93 is: 1,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.86 : 1,944.10 = 911.93 : x
  2. Step 2: Convert to fraction form
    1,408.86/1,944.10 = 911.93/x
  3. Step 3: Cross multiply
    1,408.86x = 1,944.10 × 911.93
  4. Step 4: Simplify right side
    1,408.86x = 1,772,874.53
  5. Step 5: Solve for x
    x = 1,772,874.53/1,408.86
  6. Step 6: Final answer
    x = 1,258.38

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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.