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Finding the Fourth Proportional to 1,435.65, 1,981.07 and 806.09

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Solution

The fourth proportional to 1,435.65, 1,981.07 and 806.09 is: 1,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.65 : 1,981.07 = 806.09 : x
  2. Step 2: Convert to fraction form
    1,435.65/1,981.07 = 806.09/x
  3. Step 3: Cross multiply
    1,435.65x = 1,981.07 × 806.09
  4. Step 4: Simplify right side
    1,435.65x = 1,596,920.72
  5. Step 5: Solve for x
    x = 1,596,920.72/1,435.65
  6. Step 6: Final answer
    x = 1,112.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.