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Finding the Fourth Proportional to 1,428.88, 1,970.96 and 839.28

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Solution

The fourth proportional to 1,428.88, 1,970.96 and 839.28 is: 1,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.88 : 1,970.96 = 839.28 : x
  2. Step 2: Convert to fraction form
    1,428.88/1,970.96 = 839.28/x
  3. Step 3: Cross multiply
    1,428.88x = 1,970.96 × 839.28
  4. Step 4: Simplify right side
    1,428.88x = 1,654,187.31
  5. Step 5: Solve for x
    x = 1,654,187.31/1,428.88
  6. Step 6: Final answer
    x = 1,157.68

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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.