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Finding the Fourth Proportional to 1,428.75, 1,971.71 and 799.30

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Solution

The fourth proportional to 1,428.75, 1,971.71 and 799.30 is: 1,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.75 : 1,971.71 = 799.30 : x
  2. Step 2: Convert to fraction form
    1,428.75/1,971.71 = 799.30/x
  3. Step 3: Cross multiply
    1,428.75x = 1,971.71 × 799.30
  4. Step 4: Simplify right side
    1,428.75x = 1,575,973.95
  5. Step 5: Solve for x
    x = 1,575,973.95/1,428.75
  6. Step 6: Final answer
    x = 1,103.05

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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.