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Finding the Fourth Proportional to 1,280.43, 1,919.97 and 818.10

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Solution

The fourth proportional to 1,280.43, 1,919.97 and 818.10 is: 1,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.43 : 1,919.97 = 818.10 : x
  2. Step 2: Convert to fraction form
    1,280.43/1,919.97 = 818.10/x
  3. Step 3: Cross multiply
    1,280.43x = 1,919.97 × 818.10
  4. Step 4: Simplify right side
    1,280.43x = 1,570,727.46
  5. Step 5: Solve for x
    x = 1,570,727.46/1,280.43
  6. Step 6: Final answer
    x = 1,226.72

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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.