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Finding the Fourth Proportional to 775.47, 1,069.96 and 460.49

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Solution

The fourth proportional to 775.47, 1,069.96 and 460.49 is: 635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.47 : 1,069.96 = 460.49 : x
  2. Step 2: Convert to fraction form
    775.47/1,069.96 = 460.49/x
  3. Step 3: Cross multiply
    775.47x = 1,069.96 × 460.49
  4. Step 4: Simplify right side
    775.47x = 492,700.24
  5. Step 5: Solve for x
    x = 492,700.24/775.47
  6. Step 6: Final answer
    x = 635.35

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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.