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Finding the Fourth Proportional to 1,280.42, 1,921.20 and 703.28

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Solution

The fourth proportional to 1,280.42, 1,921.20 and 703.28 is: 1,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.42 : 1,921.20 = 703.28 : x
  2. Step 2: Convert to fraction form
    1,280.42/1,921.20 = 703.28/x
  3. Step 3: Cross multiply
    1,280.42x = 1,921.20 × 703.28
  4. Step 4: Simplify right side
    1,280.42x = 1,351,141.54
  5. Step 5: Solve for x
    x = 1,351,141.54/1,280.42
  6. Step 6: Final answer
    x = 1,055.23

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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.