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Finding the Fourth Proportional to 1,192.43, 1,788.31 and 412.23

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Solution

The fourth proportional to 1,192.43, 1,788.31 and 412.23 is: 618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.43 : 1,788.31 = 412.23 : x
  2. Step 2: Convert to fraction form
    1,192.43/1,788.31 = 412.23/x
  3. Step 3: Cross multiply
    1,192.43x = 1,788.31 × 412.23
  4. Step 4: Simplify right side
    1,192.43x = 737,194.00
  5. Step 5: Solve for x
    x = 737,194.00/1,192.43
  6. Step 6: Final answer
    x = 618.23

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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.