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Finding the Fourth Proportional to 851.14, 1,277.10 and 526.30

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Solution

The fourth proportional to 851.14, 1,277.10 and 526.30 is: 789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.14 : 1,277.10 = 526.30 : x
  2. Step 2: Convert to fraction form
    851.14/1,277.10 = 526.30/x
  3. Step 3: Cross multiply
    851.14x = 1,277.10 × 526.30
  4. Step 4: Simplify right side
    851.14x = 672,137.73
  5. Step 5: Solve for x
    x = 672,137.73/851.14
  6. Step 6: Final answer
    x = 789.69

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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.