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Finding the Fourth Proportional to 767.72, 1,059.21 and 464.81

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Solution

The fourth proportional to 767.72, 1,059.21 and 464.81 is: 641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.72 : 1,059.21 = 464.81 : x
  2. Step 2: Convert to fraction form
    767.72/1,059.21 = 464.81/x
  3. Step 3: Cross multiply
    767.72x = 1,059.21 × 464.81
  4. Step 4: Simplify right side
    767.72x = 492,326.10
  5. Step 5: Solve for x
    x = 492,326.10/767.72
  6. Step 6: Final answer
    x = 641.29

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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.