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Finding the Fourth Proportional to 527.06, 789.14 and 519.86

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Solution

The fourth proportional to 527.06, 789.14 and 519.86 is: 778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 789.14 = 519.86 : x
  2. Step 2: Convert to fraction form
    527.06/789.14 = 519.86/x
  3. Step 3: Cross multiply
    527.06x = 789.14 × 519.86
  4. Step 4: Simplify right side
    527.06x = 410,242.32
  5. Step 5: Solve for x
    x = 410,242.32/527.06
  6. Step 6: Final answer
    x = 778.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.