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Finding the Fourth Proportional to 1,401.12, 1,933.73 and 811.70

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Solution

The fourth proportional to 1,401.12, 1,933.73 and 811.70 is: 1,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.12 : 1,933.73 = 811.70 : x
  2. Step 2: Convert to fraction form
    1,401.12/1,933.73 = 811.70/x
  3. Step 3: Cross multiply
    1,401.12x = 1,933.73 × 811.70
  4. Step 4: Simplify right side
    1,401.12x = 1,569,601.00
  5. Step 5: Solve for x
    x = 1,569,601.00/1,401.12
  6. Step 6: Final answer
    x = 1,120.25

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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.