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Finding the Fourth Proportional to 779.04, 1,074.72 and 464.22

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Solution

The fourth proportional to 779.04, 1,074.72 and 464.22 is: 640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.04 : 1,074.72 = 464.22 : x
  2. Step 2: Convert to fraction form
    779.04/1,074.72 = 464.22/x
  3. Step 3: Cross multiply
    779.04x = 1,074.72 × 464.22
  4. Step 4: Simplify right side
    779.04x = 498,906.52
  5. Step 5: Solve for x
    x = 498,906.52/779.04
  6. Step 6: Final answer
    x = 640.41

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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.