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Finding the Fourth Proportional to 1,428.02, 1,970.52 and 838.43

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Solution

The fourth proportional to 1,428.02, 1,970.52 and 838.43 is: 1,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.02 : 1,970.52 = 838.43 : x
  2. Step 2: Convert to fraction form
    1,428.02/1,970.52 = 838.43/x
  3. Step 3: Cross multiply
    1,428.02x = 1,970.52 × 838.43
  4. Step 4: Simplify right side
    1,428.02x = 1,652,143.08
  5. Step 5: Solve for x
    x = 1,652,143.08/1,428.02
  6. Step 6: Final answer
    x = 1,156.95

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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.