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Finding the Fourth Proportional to 1,219.94, 1,829.73 and 398.21

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Solution

The fourth proportional to 1,219.94, 1,829.73 and 398.21 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.94 : 1,829.73 = 398.21 : x
  2. Step 2: Convert to fraction form
    1,219.94/1,829.73 = 398.21/x
  3. Step 3: Cross multiply
    1,219.94x = 1,829.73 × 398.21
  4. Step 4: Simplify right side
    1,219.94x = 728,614.79
  5. Step 5: Solve for x
    x = 728,614.79/1,219.94
  6. Step 6: Final answer
    x = 597.25

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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.