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Finding the Fourth Proportional to 854.50, 1,178.55 and 551.56

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Solution

The fourth proportional to 854.50, 1,178.55 and 551.56 is: 760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.50 : 1,178.55 = 551.56 : x
  2. Step 2: Convert to fraction form
    854.50/1,178.55 = 551.56/x
  3. Step 3: Cross multiply
    854.50x = 1,178.55 × 551.56
  4. Step 4: Simplify right side
    854.50x = 650,042.51
  5. Step 5: Solve for x
    x = 650,042.51/854.50
  6. Step 6: Final answer
    x = 760.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.