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Finding the Fourth Proportional to 775.00, 1,069.56 and 460.36

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Solution

The fourth proportional to 775.00, 1,069.56 and 460.36 is: 635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.00 : 1,069.56 = 460.36 : x
  2. Step 2: Convert to fraction form
    775.00/1,069.56 = 460.36/x
  3. Step 3: Cross multiply
    775.00x = 1,069.56 × 460.36
  4. Step 4: Simplify right side
    775.00x = 492,374.99
  5. Step 5: Solve for x
    x = 492,374.99/775.00
  6. Step 6: Final answer
    x = 635.33

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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.