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Finding the Fourth Proportional to 775.21, 1,068.61 and 656.75

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Solution

The fourth proportional to 775.21, 1,068.61 and 656.75 is: 905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.21 : 1,068.61 = 656.75 : x
  2. Step 2: Convert to fraction form
    775.21/1,068.61 = 656.75/x
  3. Step 3: Cross multiply
    775.21x = 1,068.61 × 656.75
  4. Step 4: Simplify right side
    775.21x = 701,809.62
  5. Step 5: Solve for x
    x = 701,809.62/775.21
  6. Step 6: Final answer
    x = 905.32

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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.