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Finding the Fourth Proportional to 1,299.80, 1,949.55 and 325.90

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Solution

The fourth proportional to 1,299.80, 1,949.55 and 325.90 is: 488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.80 : 1,949.55 = 325.90 : x
  2. Step 2: Convert to fraction form
    1,299.80/1,949.55 = 325.90/x
  3. Step 3: Cross multiply
    1,299.80x = 1,949.55 × 325.90
  4. Step 4: Simplify right side
    1,299.80x = 635,355.91
  5. Step 5: Solve for x
    x = 635,355.91/1,299.80
  6. Step 6: Final answer
    x = 488.81

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1.5x scale

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.