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Finding the Fourth Proportional to 1,280.49, 1,921.28 and 500.73

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Solution

The fourth proportional to 1,280.49, 1,921.28 and 500.73 is: 751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.49 : 1,921.28 = 500.73 : x
  2. Step 2: Convert to fraction form
    1,280.49/1,921.28 = 500.73/x
  3. Step 3: Cross multiply
    1,280.49x = 1,921.28 × 500.73
  4. Step 4: Simplify right side
    1,280.49x = 962,040.03
  5. Step 5: Solve for x
    x = 962,040.03/1,280.49
  6. Step 6: Final answer
    x = 751.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.