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Finding the Fourth Proportional to 1,192.23, 1,788.62 and 370.46

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Solution

The fourth proportional to 1,192.23, 1,788.62 and 370.46 is: 555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.23 : 1,788.62 = 370.46 : x
  2. Step 2: Convert to fraction form
    1,192.23/1,788.62 = 370.46/x
  3. Step 3: Cross multiply
    1,192.23x = 1,788.62 × 370.46
  4. Step 4: Simplify right side
    1,192.23x = 662,604.53
  5. Step 5: Solve for x
    x = 662,604.53/1,192.23
  6. Step 6: Final answer
    x = 555.77

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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.