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Finding the Fourth Proportional to 649.72, 974.52 and 526.68

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Solution

The fourth proportional to 649.72, 974.52 and 526.68 is: 789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 974.52 = 526.68 : x
  2. Step 2: Convert to fraction form
    649.72/974.52 = 526.68/x
  3. Step 3: Cross multiply
    649.72x = 974.52 × 526.68
  4. Step 4: Simplify right side
    649.72x = 513,260.19
  5. Step 5: Solve for x
    x = 513,260.19/649.72
  6. Step 6: Final answer
    x = 789.97

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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.