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Finding the Fourth Proportional to 699.98, 966.02 and 451.35

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Solution

The fourth proportional to 699.98, 966.02 and 451.35 is: 622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.98 : 966.02 = 451.35 : x
  2. Step 2: Convert to fraction form
    699.98/966.02 = 451.35/x
  3. Step 3: Cross multiply
    699.98x = 966.02 × 451.35
  4. Step 4: Simplify right side
    699.98x = 436,010.87
  5. Step 5: Solve for x
    x = 436,010.87/699.98
  6. Step 6: Final answer
    x = 622.89

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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.