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Finding the Fourth Proportional to 1,428.77, 1,971.67 and 799.30

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Solution

The fourth proportional to 1,428.77, 1,971.67 and 799.30 is: 1,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.77 : 1,971.67 = 799.30 : x
  2. Step 2: Convert to fraction form
    1,428.77/1,971.67 = 799.30/x
  3. Step 3: Cross multiply
    1,428.77x = 1,971.67 × 799.30
  4. Step 4: Simplify right side
    1,428.77x = 1,575,958.76
  5. Step 5: Solve for x
    x = 1,575,958.76/1,428.77
  6. Step 6: Final answer
    x = 1,103.02

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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.