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Finding the Fourth Proportional to 1,192.78, 1,785.93 and 780.90

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Solution

The fourth proportional to 1,192.78, 1,785.93 and 780.90 is: 1,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.78 : 1,785.93 = 780.90 : x
  2. Step 2: Convert to fraction form
    1,192.78/1,785.93 = 780.90/x
  3. Step 3: Cross multiply
    1,192.78x = 1,785.93 × 780.90
  4. Step 4: Simplify right side
    1,192.78x = 1,394,632.74
  5. Step 5: Solve for x
    x = 1,394,632.74/1,192.78
  6. Step 6: Final answer
    x = 1,169.23

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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.