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Finding the Fourth Proportional to 527.69, 789.66 and 496.55

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Solution

The fourth proportional to 527.69, 789.66 and 496.55 is: 743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.69 : 789.66 = 496.55 : x
  2. Step 2: Convert to fraction form
    527.69/789.66 = 496.55/x
  3. Step 3: Cross multiply
    527.69x = 789.66 × 496.55
  4. Step 4: Simplify right side
    527.69x = 392,101.72
  5. Step 5: Solve for x
    x = 392,101.72/527.69
  6. Step 6: Final answer
    x = 743.06

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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.