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Finding the Fourth Proportional to 1,190.65, 1,786.70 and 613.93

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Solution

The fourth proportional to 1,190.65, 1,786.70 and 613.93 is: 921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.65 : 1,786.70 = 613.93 : x
  2. Step 2: Convert to fraction form
    1,190.65/1,786.70 = 613.93/x
  3. Step 3: Cross multiply
    1,190.65x = 1,786.70 × 613.93
  4. Step 4: Simplify right side
    1,190.65x = 1,096,908.73
  5. Step 5: Solve for x
    x = 1,096,908.73/1,190.65
  6. Step 6: Final answer
    x = 921.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.