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Finding the Fourth Proportional to 656.02, 905.75 and 516.70

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Solution

The fourth proportional to 656.02, 905.75 and 516.70 is: 713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.02 : 905.75 = 516.70 : x
  2. Step 2: Convert to fraction form
    656.02/905.75 = 516.70/x
  3. Step 3: Cross multiply
    656.02x = 905.75 × 516.70
  4. Step 4: Simplify right side
    656.02x = 468,001.03
  5. Step 5: Solve for x
    x = 468,001.03/656.02
  6. Step 6: Final answer
    x = 713.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.