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Finding the Fourth Proportional to 1,400.94, 1,933.29 and 811.62

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Solution

The fourth proportional to 1,400.94, 1,933.29 and 811.62 is: 1,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.94 : 1,933.29 = 811.62 : x
  2. Step 2: Convert to fraction form
    1,400.94/1,933.29 = 811.62/x
  3. Step 3: Cross multiply
    1,400.94x = 1,933.29 × 811.62
  4. Step 4: Simplify right side
    1,400.94x = 1,569,096.83
  5. Step 5: Solve for x
    x = 1,569,096.83/1,400.94
  6. Step 6: Final answer
    x = 1,120.03

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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.