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Finding the Fourth Proportional to 1,192.14, 1,785.67 and 959.78

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Solution

The fourth proportional to 1,192.14, 1,785.67 and 959.78 is: 1,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.14 : 1,785.67 = 959.78 : x
  2. Step 2: Convert to fraction form
    1,192.14/1,785.67 = 959.78/x
  3. Step 3: Cross multiply
    1,192.14x = 1,785.67 × 959.78
  4. Step 4: Simplify right side
    1,192.14x = 1,713,852.42
  5. Step 5: Solve for x
    x = 1,713,852.42/1,192.14
  6. Step 6: Final answer
    x = 1,437.63

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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.