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Finding the Fourth Proportional to 768.31, 1,152.74 and 274.95

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Solution

The fourth proportional to 768.31, 1,152.74 and 274.95 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.31 : 1,152.74 = 274.95 : x
  2. Step 2: Convert to fraction form
    768.31/1,152.74 = 274.95/x
  3. Step 3: Cross multiply
    768.31x = 1,152.74 × 274.95
  4. Step 4: Simplify right side
    768.31x = 316,946.55
  5. Step 5: Solve for x
    x = 316,946.55/768.31
  6. Step 6: Final answer
    x = 412.53

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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.