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Finding the Fourth Proportional to 1,004.19, 1,506.30 and 273.84

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Solution

The fourth proportional to 1,004.19, 1,506.30 and 273.84 is: 410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.19 : 1,506.30 = 273.84 : x
  2. Step 2: Convert to fraction form
    1,004.19/1,506.30 = 273.84/x
  3. Step 3: Cross multiply
    1,004.19x = 1,506.30 × 273.84
  4. Step 4: Simplify right side
    1,004.19x = 412,485.19
  5. Step 5: Solve for x
    x = 412,485.19/1,004.19
  6. Step 6: Final answer
    x = 410.76

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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.