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Finding the Fourth Proportional to 1,186.00, 1,780.54 and 912.29

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Solution

The fourth proportional to 1,186.00, 1,780.54 and 912.29 is: 1,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.00 : 1,780.54 = 912.29 : x
  2. Step 2: Convert to fraction form
    1,186.00/1,780.54 = 912.29/x
  3. Step 3: Cross multiply
    1,186.00x = 1,780.54 × 912.29
  4. Step 4: Simplify right side
    1,186.00x = 1,624,357.65
  5. Step 5: Solve for x
    x = 1,624,357.65/1,186.00
  6. Step 6: Final answer
    x = 1,369.61

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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.