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Finding the Fourth Proportional to 1,004.72, 1,507.14 and 274.37

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Solution

The fourth proportional to 1,004.72, 1,507.14 and 274.37 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.72 : 1,507.14 = 274.37 : x
  2. Step 2: Convert to fraction form
    1,004.72/1,507.14 = 274.37/x
  3. Step 3: Cross multiply
    1,004.72x = 1,507.14 × 274.37
  4. Step 4: Simplify right side
    1,004.72x = 413,506.47
  5. Step 5: Solve for x
    x = 413,506.47/1,004.72
  6. Step 6: Final answer
    x = 411.57

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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.