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Finding the Fourth Proportional to 1,280.24, 1,919.32 and 510

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Solution

The fourth proportional to 1,280.24, 1,919.32 and 510 is: 764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.24 : 1,919.32 = 510 : x
  2. Step 2: Convert to fraction form
    1,280.24/1,919.32 = 510/x
  3. Step 3: Cross multiply
    1,280.24x = 1,919.32 × 510
  4. Step 4: Simplify right side
    1,280.24x = 978,853.20
  5. Step 5: Solve for x
    x = 978,853.20/1,280.24
  6. Step 6: Final answer
    x = 764.59

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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.