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Finding the Fourth Proportional to 967.63, 1,451.53 and 274.30

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Solution

The fourth proportional to 967.63, 1,451.53 and 274.30 is: 411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.63 : 1,451.53 = 274.30 : x
  2. Step 2: Convert to fraction form
    967.63/1,451.53 = 274.30/x
  3. Step 3: Cross multiply
    967.63x = 1,451.53 × 274.30
  4. Step 4: Simplify right side
    967.63x = 398,153.31
  5. Step 5: Solve for x
    x = 398,153.31/967.63
  6. Step 6: Final answer
    x = 411.47

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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.