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Finding the Fourth Proportional to 700.71, 966.44 and 451.89

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Solution

The fourth proportional to 700.71, 966.44 and 451.89 is: 623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.71 : 966.44 = 451.89 : x
  2. Step 2: Convert to fraction form
    700.71/966.44 = 451.89/x
  3. Step 3: Cross multiply
    700.71x = 966.44 × 451.89
  4. Step 4: Simplify right side
    700.71x = 436,722.31
  5. Step 5: Solve for x
    x = 436,722.31/700.71
  6. Step 6: Final answer
    x = 623.26

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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.