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Finding the Fourth Proportional to 1,192.23, 1,787.22 and 606.39

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Solution

The fourth proportional to 1,192.23, 1,787.22 and 606.39 is: 909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.23 : 1,787.22 = 606.39 : x
  2. Step 2: Convert to fraction form
    1,192.23/1,787.22 = 606.39/x
  3. Step 3: Cross multiply
    1,192.23x = 1,787.22 × 606.39
  4. Step 4: Simplify right side
    1,192.23x = 1,083,752.34
  5. Step 5: Solve for x
    x = 1,083,752.34/1,192.23
  6. Step 6: Final answer
    x = 909.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.