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Finding the Fourth Proportional to 1,004.87, 1,507.30 and 274.46

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Solution

The fourth proportional to 1,004.87, 1,507.30 and 274.46 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.87 : 1,507.30 = 274.46 : x
  2. Step 2: Convert to fraction form
    1,004.87/1,507.30 = 274.46/x
  3. Step 3: Cross multiply
    1,004.87x = 1,507.30 × 274.46
  4. Step 4: Simplify right side
    1,004.87x = 413,685.34
  5. Step 5: Solve for x
    x = 413,685.34/1,004.87
  6. Step 6: Final answer
    x = 411.68

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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.