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Finding the Fourth Proportional to 1,192.22, 1,786.05 and 930.99

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Solution

The fourth proportional to 1,192.22, 1,786.05 and 930.99 is: 1,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.22 : 1,786.05 = 930.99 : x
  2. Step 2: Convert to fraction form
    1,192.22/1,786.05 = 930.99/x
  3. Step 3: Cross multiply
    1,192.22x = 1,786.05 × 930.99
  4. Step 4: Simplify right side
    1,192.22x = 1,662,801.39
  5. Step 5: Solve for x
    x = 1,662,801.39/1,192.22
  6. Step 6: Final answer
    x = 1,394.71

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1.5x scale

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.