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Finding the Fourth Proportional to 699.13, 964.44 and 477.73

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Solution

The fourth proportional to 699.13, 964.44 and 477.73 is: 659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.13 : 964.44 = 477.73 : x
  2. Step 2: Convert to fraction form
    699.13/964.44 = 477.73/x
  3. Step 3: Cross multiply
    699.13x = 964.44 × 477.73
  4. Step 4: Simplify right side
    699.13x = 460,741.92
  5. Step 5: Solve for x
    x = 460,741.92/699.13
  6. Step 6: Final answer
    x = 659.02

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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.