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Finding the Fourth Proportional to 851.66, 1,277.94 and 418.82

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Solution

The fourth proportional to 851.66, 1,277.94 and 418.82 is: 628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.66 : 1,277.94 = 418.82 : x
  2. Step 2: Convert to fraction form
    851.66/1,277.94 = 418.82/x
  3. Step 3: Cross multiply
    851.66x = 1,277.94 × 418.82
  4. Step 4: Simplify right side
    851.66x = 535,226.83
  5. Step 5: Solve for x
    x = 535,226.83/851.66
  6. Step 6: Final answer
    x = 628.45

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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.