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Finding the Fourth Proportional to 699.77, 966.06 and 437.94

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Solution

The fourth proportional to 699.77, 966.06 and 437.94 is: 604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.77 : 966.06 = 437.94 : x
  2. Step 2: Convert to fraction form
    699.77/966.06 = 437.94/x
  3. Step 3: Cross multiply
    699.77x = 966.06 × 437.94
  4. Step 4: Simplify right side
    699.77x = 423,076.32
  5. Step 5: Solve for x
    x = 423,076.32/699.77
  6. Step 6: Final answer
    x = 604.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.