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Finding the Fourth Proportional to 851.07, 1,276.59 and 273.93

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Solution

The fourth proportional to 851.07, 1,276.59 and 273.93 is: 410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.07 : 1,276.59 = 273.93 : x
  2. Step 2: Convert to fraction form
    851.07/1,276.59 = 273.93/x
  3. Step 3: Cross multiply
    851.07x = 1,276.59 × 273.93
  4. Step 4: Simplify right side
    851.07x = 349,696.30
  5. Step 5: Solve for x
    x = 349,696.30/851.07
  6. Step 6: Final answer
    x = 410.89

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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.