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Finding the Fourth Proportional to 786.76, 1,086.16 and 551.43

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Solution

The fourth proportional to 786.76, 1,086.16 and 551.43 is: 761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.76 : 1,086.16 = 551.43 : x
  2. Step 2: Convert to fraction form
    786.76/1,086.16 = 551.43/x
  3. Step 3: Cross multiply
    786.76x = 1,086.16 × 551.43
  4. Step 4: Simplify right side
    786.76x = 598,939.83
  5. Step 5: Solve for x
    x = 598,939.83/786.76
  6. Step 6: Final answer
    x = 761.28

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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.