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Finding the Fourth Proportional to 1,004.88, 1,507.20 and 274.48

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Solution

The fourth proportional to 1,004.88, 1,507.20 and 274.48 is: 411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.88 : 1,507.20 = 274.48 : x
  2. Step 2: Convert to fraction form
    1,004.88/1,507.20 = 274.48/x
  3. Step 3: Cross multiply
    1,004.88x = 1,507.20 × 274.48
  4. Step 4: Simplify right side
    1,004.88x = 413,696.26
  5. Step 5: Solve for x
    x = 413,696.26/1,004.88
  6. Step 6: Final answer
    x = 411.69

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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.