Home / 1,280.80-1,921.20-459.10

Finding the Fourth Proportional to 1,280.80, 1,921.20 and 459.10

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Solution

The fourth proportional to 1,280.80, 1,921.20 and 459.10 is: 688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.80 : 1,921.20 = 459.10 : x
  2. Step 2: Convert to fraction form
    1,280.80/1,921.20 = 459.10/x
  3. Step 3: Cross multiply
    1,280.80x = 1,921.20 × 459.10
  4. Step 4: Simplify right side
    1,280.80x = 882,022.92
  5. Step 5: Solve for x
    x = 882,022.92/1,280.80
  6. Step 6: Final answer
    x = 688.65

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Why These Related Problems?

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