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Finding the Fourth Proportional to 775.09, 1,069.47 and 460.31

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Solution

The fourth proportional to 775.09, 1,069.47 and 460.31 is: 635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.09 : 1,069.47 = 460.31 : x
  2. Step 2: Convert to fraction form
    775.09/1,069.47 = 460.31/x
  3. Step 3: Cross multiply
    775.09x = 1,069.47 × 460.31
  4. Step 4: Simplify right side
    775.09x = 492,285.43
  5. Step 5: Solve for x
    x = 492,285.43/775.09
  6. Step 6: Final answer
    x = 635.13

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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.