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Finding the Fourth Proportional to 656.24, 981.84 and 481.76

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Solution

The fourth proportional to 656.24, 981.84 and 481.76 is: 720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.24 : 981.84 = 481.76 : x
  2. Step 2: Convert to fraction form
    656.24/981.84 = 481.76/x
  3. Step 3: Cross multiply
    656.24x = 981.84 × 481.76
  4. Step 4: Simplify right side
    656.24x = 473,011.24
  5. Step 5: Solve for x
    x = 473,011.24/656.24
  6. Step 6: Final answer
    x = 720.79

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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.