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Finding the Fourth Proportional to 643.64, 967.06 and 451.64

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Solution

The fourth proportional to 643.64, 967.06 and 451.64 is: 678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.64 : 967.06 = 451.64 : x
  2. Step 2: Convert to fraction form
    643.64/967.06 = 451.64/x
  3. Step 3: Cross multiply
    643.64x = 967.06 × 451.64
  4. Step 4: Simplify right side
    643.64x = 436,762.98
  5. Step 5: Solve for x
    x = 436,762.98/643.64
  6. Step 6: Final answer
    x = 678.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.