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Finding the Fourth Proportional to 1,383.25, 2,074.88 and 409.34

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Solution

The fourth proportional to 1,383.25, 2,074.88 and 409.34 is: 614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.25 : 2,074.88 = 409.34 : x
  2. Step 2: Convert to fraction form
    1,383.25/2,074.88 = 409.34/x
  3. Step 3: Cross multiply
    1,383.25x = 2,074.88 × 409.34
  4. Step 4: Simplify right side
    1,383.25x = 849,331.38
  5. Step 5: Solve for x
    x = 849,331.38/1,383.25
  6. Step 6: Final answer
    x = 614.01

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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.