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Finding the Fourth Proportional to 851.78, 1,276.63 and 363.80

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Solution

The fourth proportional to 851.78, 1,276.63 and 363.80 is: 545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.78 : 1,276.63 = 363.80 : x
  2. Step 2: Convert to fraction form
    851.78/1,276.63 = 363.80/x
  3. Step 3: Cross multiply
    851.78x = 1,276.63 × 363.80
  4. Step 4: Simplify right side
    851.78x = 464,437.99
  5. Step 5: Solve for x
    x = 464,437.99/851.78
  6. Step 6: Final answer
    x = 545.26

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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.