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Finding the Fourth Proportional to 1,394.55, 2,091.81 and 561.99

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Solution

The fourth proportional to 1,394.55, 2,091.81 and 561.99 is: 842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.55 : 2,091.81 = 561.99 : x
  2. Step 2: Convert to fraction form
    1,394.55/2,091.81 = 561.99/x
  3. Step 3: Cross multiply
    1,394.55x = 2,091.81 × 561.99
  4. Step 4: Simplify right side
    1,394.55x = 1,175,571.33
  5. Step 5: Solve for x
    x = 1,175,571.33/1,394.55
  6. Step 6: Final answer
    x = 842.98

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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.