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Finding the Fourth Proportional to 1,381.25, 1,906.03 and 783.67

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Solution

The fourth proportional to 1,381.25, 1,906.03 and 783.67 is: 1,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.25 : 1,906.03 = 783.67 : x
  2. Step 2: Convert to fraction form
    1,381.25/1,906.03 = 783.67/x
  3. Step 3: Cross multiply
    1,381.25x = 1,906.03 × 783.67
  4. Step 4: Simplify right side
    1,381.25x = 1,493,691.81
  5. Step 5: Solve for x
    x = 1,493,691.81/1,381.25
  6. Step 6: Final answer
    x = 1,081.41

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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.