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Finding the Fourth Proportional to 653.32, 978.72 and 516.64

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Solution

The fourth proportional to 653.32, 978.72 and 516.64 is: 773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.32 : 978.72 = 516.64 : x
  2. Step 2: Convert to fraction form
    653.32/978.72 = 516.64/x
  3. Step 3: Cross multiply
    653.32x = 978.72 × 516.64
  4. Step 4: Simplify right side
    653.32x = 505,645.90
  5. Step 5: Solve for x
    x = 505,645.90/653.32
  6. Step 6: Final answer
    x = 773.96

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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.