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Finding the Fourth Proportional to 1,428.03, 1,969.88 and 838.46

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Solution

The fourth proportional to 1,428.03, 1,969.88 and 838.46 is: 1,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.03 : 1,969.88 = 838.46 : x
  2. Step 2: Convert to fraction form
    1,428.03/1,969.88 = 838.46/x
  3. Step 3: Cross multiply
    1,428.03x = 1,969.88 × 838.46
  4. Step 4: Simplify right side
    1,428.03x = 1,651,651.54
  5. Step 5: Solve for x
    x = 1,651,651.54/1,428.03
  6. Step 6: Final answer
    x = 1,156.59

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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.