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Finding the Fourth Proportional to 1,190.90, 1,787.07 and 614.18

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Solution

The fourth proportional to 1,190.90, 1,787.07 and 614.18 is: 921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.90 : 1,787.07 = 614.18 : x
  2. Step 2: Convert to fraction form
    1,190.90/1,787.07 = 614.18/x
  3. Step 3: Cross multiply
    1,190.90x = 1,787.07 × 614.18
  4. Step 4: Simplify right side
    1,190.90x = 1,097,582.65
  5. Step 5: Solve for x
    x = 1,097,582.65/1,190.90
  6. Step 6: Final answer
    x = 921.64

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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.