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Finding the Fourth Proportional to 653.56, 978.60 and 516.88

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Solution

The fourth proportional to 653.56, 978.60 and 516.88 is: 773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.56 : 978.60 = 516.88 : x
  2. Step 2: Convert to fraction form
    653.56/978.60 = 516.88/x
  3. Step 3: Cross multiply
    653.56x = 978.60 × 516.88
  4. Step 4: Simplify right side
    653.56x = 505,818.77
  5. Step 5: Solve for x
    x = 505,818.77/653.56
  6. Step 6: Final answer
    x = 773.94

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Why These Related Problems?

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