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Finding the Fourth Proportional to 1,119.39, 1,675.83 and 795.39

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Solution

The fourth proportional to 1,119.39, 1,675.83 and 795.39 is: 1,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.39 : 1,675.83 = 795.39 : x
  2. Step 2: Convert to fraction form
    1,119.39/1,675.83 = 795.39/x
  3. Step 3: Cross multiply
    1,119.39x = 1,675.83 × 795.39
  4. Step 4: Simplify right side
    1,119.39x = 1,332,938.42
  5. Step 5: Solve for x
    x = 1,332,938.42/1,119.39
  6. Step 6: Final answer
    x = 1,190.77

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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.