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Finding the Fourth Proportional to 513.81, 767.72 and 451.32

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Solution

The fourth proportional to 513.81, 767.72 and 451.32 is: 674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 767.72 = 451.32 : x
  2. Step 2: Convert to fraction form
    513.81/767.72 = 451.32/x
  3. Step 3: Cross multiply
    513.81x = 767.72 × 451.32
  4. Step 4: Simplify right side
    513.81x = 346,485.13
  5. Step 5: Solve for x
    x = 346,485.13/513.81
  6. Step 6: Final answer
    x = 674.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.