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Finding the Fourth Proportional to 854.98, 1,282.44 and 421.78

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Solution

The fourth proportional to 854.98, 1,282.44 and 421.78 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.98 : 1,282.44 = 421.78 : x
  2. Step 2: Convert to fraction form
    854.98/1,282.44 = 421.78/x
  3. Step 3: Cross multiply
    854.98x = 1,282.44 × 421.78
  4. Step 4: Simplify right side
    854.98x = 540,907.54
  5. Step 5: Solve for x
    x = 540,907.54/854.98
  6. Step 6: Final answer
    x = 632.66

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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.