Home / 1,280.90-1,921.44-459.08

Finding the Fourth Proportional to 1,280.90, 1,921.44 and 459.08

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Solution

The fourth proportional to 1,280.90, 1,921.44 and 459.08 is: 688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.90 : 1,921.44 = 459.08 : x
  2. Step 2: Convert to fraction form
    1,280.90/1,921.44 = 459.08/x
  3. Step 3: Cross multiply
    1,280.90x = 1,921.44 × 459.08
  4. Step 4: Simplify right side
    1,280.90x = 882,094.68
  5. Step 5: Solve for x
    x = 882,094.68/1,280.90
  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.