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Finding the Fourth Proportional to 656.21, 906.12 and 586.15

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Solution

The fourth proportional to 656.21, 906.12 and 586.15 is: 809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.21 : 906.12 = 586.15 : x
  2. Step 2: Convert to fraction form
    656.21/906.12 = 586.15/x
  3. Step 3: Cross multiply
    656.21x = 906.12 × 586.15
  4. Step 4: Simplify right side
    656.21x = 531,119.97
  5. Step 5: Solve for x
    x = 531,119.97/656.21
  6. Step 6: Final answer
    x = 809.37

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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.