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Finding the Fourth Proportional to 653.87, 979.05 and 511.73

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Solution

The fourth proportional to 653.87, 979.05 and 511.73 is: 766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.87 : 979.05 = 511.73 : x
  2. Step 2: Convert to fraction form
    653.87/979.05 = 511.73/x
  3. Step 3: Cross multiply
    653.87x = 979.05 × 511.73
  4. Step 4: Simplify right side
    653.87x = 501,004.36
  5. Step 5: Solve for x
    x = 501,004.36/653.87
  6. Step 6: Final answer
    x = 766.22

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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.