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Finding the Fourth Proportional to 1,428.65, 1,971.47 and 799.25

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Solution

The fourth proportional to 1,428.65, 1,971.47 and 799.25 is: 1,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.65 : 1,971.47 = 799.25 : x
  2. Step 2: Convert to fraction form
    1,428.65/1,971.47 = 799.25/x
  3. Step 3: Cross multiply
    1,428.65x = 1,971.47 × 799.25
  4. Step 4: Simplify right side
    1,428.65x = 1,575,683.54
  5. Step 5: Solve for x
    x = 1,575,683.54/1,428.65
  6. Step 6: Final answer
    x = 1,102.92

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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.