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Finding the Fourth Proportional to 1,004.83, 1,507.25 and 274.42

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Solution

The fourth proportional to 1,004.83, 1,507.25 and 274.42 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.83 : 1,507.25 = 274.42 : x
  2. Step 2: Convert to fraction form
    1,004.83/1,507.25 = 274.42/x
  3. Step 3: Cross multiply
    1,004.83x = 1,507.25 × 274.42
  4. Step 4: Simplify right side
    1,004.83x = 413,616.46
  5. Step 5: Solve for x
    x = 413,616.46/1,004.83
  6. Step 6: Final answer
    x = 411.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.