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Finding the Fourth Proportional to 660.02, 988.22 and 516.02

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Solution

The fourth proportional to 660.02, 988.22 and 516.02 is: 772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.02 : 988.22 = 516.02 : x
  2. Step 2: Convert to fraction form
    660.02/988.22 = 516.02/x
  3. Step 3: Cross multiply
    660.02x = 988.22 × 516.02
  4. Step 4: Simplify right side
    660.02x = 509,941.28
  5. Step 5: Solve for x
    x = 509,941.28/660.02
  6. Step 6: Final answer
    x = 772.61

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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.