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Finding the Fourth Proportional to 700.71, 966.56 and 451.64

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Solution

The fourth proportional to 700.71, 966.56 and 451.64 is: 622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.71 : 966.56 = 451.64 : x
  2. Step 2: Convert to fraction form
    700.71/966.56 = 451.64/x
  3. Step 3: Cross multiply
    700.71x = 966.56 × 451.64
  4. Step 4: Simplify right side
    700.71x = 436,530.07
  5. Step 5: Solve for x
    x = 436,530.07/700.71
  6. Step 6: Final answer
    x = 622.98

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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.