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Finding the Fourth Proportional to 1,192.53, 1,788.56 and 370.61

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Solution

The fourth proportional to 1,192.53, 1,788.56 and 370.61 is: 555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.53 : 1,788.56 = 370.61 : x
  2. Step 2: Convert to fraction form
    1,192.53/1,788.56 = 370.61/x
  3. Step 3: Cross multiply
    1,192.53x = 1,788.56 × 370.61
  4. Step 4: Simplify right side
    1,192.53x = 662,858.22
  5. Step 5: Solve for x
    x = 662,858.22/1,192.53
  6. Step 6: Final answer
    x = 555.84

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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.