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Finding the Fourth Proportional to 1,210.40, 1,816.29 and 799.73

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Solution

The fourth proportional to 1,210.40, 1,816.29 and 799.73 is: 1,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.40 : 1,816.29 = 799.73 : x
  2. Step 2: Convert to fraction form
    1,210.40/1,816.29 = 799.73/x
  3. Step 3: Cross multiply
    1,210.40x = 1,816.29 × 799.73
  4. Step 4: Simplify right side
    1,210.40x = 1,452,541.60
  5. Step 5: Solve for x
    x = 1,452,541.60/1,210.40
  6. Step 6: Final answer
    x = 1,200.05

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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.