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Finding the Fourth Proportional to 768.48, 1,152.56 and 274.98

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Solution

The fourth proportional to 768.48, 1,152.56 and 274.98 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.48 : 1,152.56 = 274.98 : x
  2. Step 2: Convert to fraction form
    768.48/1,152.56 = 274.98/x
  3. Step 3: Cross multiply
    768.48x = 1,152.56 × 274.98
  4. Step 4: Simplify right side
    768.48x = 316,930.95
  5. Step 5: Solve for x
    x = 316,930.95/768.48
  6. Step 6: Final answer
    x = 412.41

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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.