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Finding the Fourth Proportional to 1,428.72, 1,971.77 and 839.24

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Solution

The fourth proportional to 1,428.72, 1,971.77 and 839.24 is: 1,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.72 : 1,971.77 = 839.24 : x
  2. Step 2: Convert to fraction form
    1,428.72/1,971.77 = 839.24/x
  3. Step 3: Cross multiply
    1,428.72x = 1,971.77 × 839.24
  4. Step 4: Simplify right side
    1,428.72x = 1,654,788.25
  5. Step 5: Solve for x
    x = 1,654,788.25/1,428.72
  6. Step 6: Final answer
    x = 1,158.23

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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.