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Finding the Fourth Proportional to 1,192.86, 1,788.90 and 679.50

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Solution

The fourth proportional to 1,192.86, 1,788.90 and 679.50 is: 1,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.86 : 1,788.90 = 679.50 : x
  2. Step 2: Convert to fraction form
    1,192.86/1,788.90 = 679.50/x
  3. Step 3: Cross multiply
    1,192.86x = 1,788.90 × 679.50
  4. Step 4: Simplify right side
    1,192.86x = 1,215,557.55
  5. Step 5: Solve for x
    x = 1,215,557.55/1,192.86
  6. Step 6: Final answer
    x = 1,019.03

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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.