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Finding the Fourth Proportional to 1,004.84, 1,507.26 and 274.49

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Solution

The fourth proportional to 1,004.84, 1,507.26 and 274.49 is: 411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.84 : 1,507.26 = 274.49 : x
  2. Step 2: Convert to fraction form
    1,004.84/1,507.26 = 274.49/x
  3. Step 3: Cross multiply
    1,004.84x = 1,507.26 × 274.49
  4. Step 4: Simplify right side
    1,004.84x = 413,720.26
  5. Step 5: Solve for x
    x = 413,720.26/1,004.84
  6. Step 6: Final answer
    x = 411.73

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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.