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Finding the Fourth Proportional to 1,004.66, 1,506.98 and 274.23

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Solution

The fourth proportional to 1,004.66, 1,506.98 and 274.23 is: 411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.66 : 1,506.98 = 274.23 : x
  2. Step 2: Convert to fraction form
    1,004.66/1,506.98 = 274.23/x
  3. Step 3: Cross multiply
    1,004.66x = 1,506.98 × 274.23
  4. Step 4: Simplify right side
    1,004.66x = 413,257.75
  5. Step 5: Solve for x
    x = 413,257.75/1,004.66
  6. Step 6: Final answer
    x = 411.34

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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.