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Finding the Fourth Proportional to 851.58, 1,278.54 and 525.96

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Solution

The fourth proportional to 851.58, 1,278.54 and 525.96 is: 789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.58 : 1,278.54 = 525.96 : x
  2. Step 2: Convert to fraction form
    851.58/1,278.54 = 525.96/x
  3. Step 3: Cross multiply
    851.58x = 1,278.54 × 525.96
  4. Step 4: Simplify right side
    851.58x = 672,460.90
  5. Step 5: Solve for x
    x = 672,460.90/851.58
  6. Step 6: Final answer
    x = 789.66

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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.