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Finding the Fourth Proportional to 684.07, 945 and 551.09

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Solution

The fourth proportional to 684.07, 945 and 551.09 is: 761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 945 = 551.09 : x
  2. Step 2: Convert to fraction form
    684.07/945 = 551.09/x
  3. Step 3: Cross multiply
    684.07x = 945 × 551.09
  4. Step 4: Simplify right side
    684.07x = 520,782.41
  5. Step 5: Solve for x
    x = 520,782.41/684.07
  6. Step 6: Final answer
    x = 761.30

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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.