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Finding the Fourth Proportional to 1,310.68, 1,809.39 and 919.78

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Solution

The fourth proportional to 1,310.68, 1,809.39 and 919.78 is: 1,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.68 : 1,809.39 = 919.78 : x
  2. Step 2: Convert to fraction form
    1,310.68/1,809.39 = 919.78/x
  3. Step 3: Cross multiply
    1,310.68x = 1,809.39 × 919.78
  4. Step 4: Simplify right side
    1,310.68x = 1,664,240.73
  5. Step 5: Solve for x
    x = 1,664,240.73/1,310.68
  6. Step 6: Final answer
    x = 1,269.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.