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Finding the Fourth Proportional to 1,004.67, 1,506.84 and 274.20

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Solution

The fourth proportional to 1,004.67, 1,506.84 and 274.20 is: 411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.67 : 1,506.84 = 274.20 : x
  2. Step 2: Convert to fraction form
    1,004.67/1,506.84 = 274.20/x
  3. Step 3: Cross multiply
    1,004.67x = 1,506.84 × 274.20
  4. Step 4: Simplify right side
    1,004.67x = 413,175.53
  5. Step 5: Solve for x
    x = 413,175.53/1,004.67
  6. Step 6: Final answer
    x = 411.25

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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.