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Finding the Fourth Proportional to 654.51, 896.68 and 629.89

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Solution

The fourth proportional to 654.51, 896.68 and 629.89 is: 862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.51 : 896.68 = 629.89 : x
  2. Step 2: Convert to fraction form
    654.51/896.68 = 629.89/x
  3. Step 3: Cross multiply
    654.51x = 896.68 × 629.89
  4. Step 4: Simplify right side
    654.51x = 564,809.77
  5. Step 5: Solve for x
    x = 564,809.77/654.51
  6. Step 6: Final answer
    x = 862.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.