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Finding the Fourth Proportional to 1,190, 1,784.79 and 727.69

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Solution

The fourth proportional to 1,190, 1,784.79 and 727.69 is: 1,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190 : 1,784.79 = 727.69 : x
  2. Step 2: Convert to fraction form
    1,190/1,784.79 = 727.69/x
  3. Step 3: Cross multiply
    1,190x = 1,784.79 × 727.69
  4. Step 4: Simplify right side
    1,190x = 1,298,773.84
  5. Step 5: Solve for x
    x = 1,298,773.84/1,190
  6. Step 6: Final answer
    x = 1,091.41

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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.