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Finding the Fourth Proportional to 852.07, 1,278.09 and 274.93

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Solution

The fourth proportional to 852.07, 1,278.09 and 274.93 is: 412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.07 : 1,278.09 = 274.93 : x
  2. Step 2: Convert to fraction form
    852.07/1,278.09 = 274.93/x
  3. Step 3: Cross multiply
    852.07x = 1,278.09 × 274.93
  4. Step 4: Simplify right side
    852.07x = 351,385.28
  5. Step 5: Solve for x
    x = 351,385.28/852.07
  6. Step 6: Final answer
    x = 412.39

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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.