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Finding the Fourth Proportional to 654.90, 983.13 and 551.94

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Solution

The fourth proportional to 654.90, 983.13 and 551.94 is: 828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 983.13 = 551.94 : x
  2. Step 2: Convert to fraction form
    654.90/983.13 = 551.94/x
  3. Step 3: Cross multiply
    654.90x = 983.13 × 551.94
  4. Step 4: Simplify right side
    654.90x = 542,628.77
  5. Step 5: Solve for x
    x = 542,628.77/654.90
  6. Step 6: Final answer
    x = 828.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.