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Finding the Fourth Proportional to 699.82, 966.40 and 451.72

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Solution

The fourth proportional to 699.82, 966.40 and 451.72 is: 623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.82 : 966.40 = 451.72 : x
  2. Step 2: Convert to fraction form
    699.82/966.40 = 451.72/x
  3. Step 3: Cross multiply
    699.82x = 966.40 × 451.72
  4. Step 4: Simplify right side
    699.82x = 436,542.21
  5. Step 5: Solve for x
    x = 436,542.21/699.82
  6. Step 6: Final answer
    x = 623.79

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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.