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Finding the Fourth Proportional to 1,004.69, 1,507.11 and 274.29

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Solution

The fourth proportional to 1,004.69, 1,507.11 and 274.29 is: 411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.69 : 1,507.11 = 274.29 : x
  2. Step 2: Convert to fraction form
    1,004.69/1,507.11 = 274.29/x
  3. Step 3: Cross multiply
    1,004.69x = 1,507.11 × 274.29
  4. Step 4: Simplify right side
    1,004.69x = 413,385.20
  5. Step 5: Solve for x
    x = 413,385.20/1,004.69
  6. Step 6: Final answer
    x = 411.46

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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.