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Finding the Fourth Proportional to 1,210.02, 1,815.69 and 799.35

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Solution

The fourth proportional to 1,210.02, 1,815.69 and 799.35 is: 1,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.02 : 1,815.69 = 799.35 : x
  2. Step 2: Convert to fraction form
    1,210.02/1,815.69 = 799.35/x
  3. Step 3: Cross multiply
    1,210.02x = 1,815.69 × 799.35
  4. Step 4: Simplify right side
    1,210.02x = 1,451,371.80
  5. Step 5: Solve for x
    x = 1,451,371.80/1,210.02
  6. Step 6: Final answer
    x = 1,199.46

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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.