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Finding the Fourth Proportional to 775.33, 1,069.92 and 460.58

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Solution

The fourth proportional to 775.33, 1,069.92 and 460.58 is: 635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.33 : 1,069.92 = 460.58 : x
  2. Step 2: Convert to fraction form
    775.33/1,069.92 = 460.58/x
  3. Step 3: Cross multiply
    775.33x = 1,069.92 × 460.58
  4. Step 4: Simplify right side
    775.33x = 492,783.56
  5. Step 5: Solve for x
    x = 492,783.56/775.33
  6. Step 6: Final answer
    x = 635.58

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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.