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Finding the Fourth Proportional to 779.14, 1,074.74 and 464.19

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Solution

The fourth proportional to 779.14, 1,074.74 and 464.19 is: 640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.14 : 1,074.74 = 464.19 : x
  2. Step 2: Convert to fraction form
    779.14/1,074.74 = 464.19/x
  3. Step 3: Cross multiply
    779.14x = 1,074.74 × 464.19
  4. Step 4: Simplify right side
    779.14x = 498,877.21
  5. Step 5: Solve for x
    x = 498,877.21/779.14
  6. Step 6: Final answer
    x = 640.29

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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.