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Finding the Fourth Proportional to 950.09, 1,311.14 and 551.84

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Solution

The fourth proportional to 950.09, 1,311.14 and 551.84 is: 761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.09 : 1,311.14 = 551.84 : x
  2. Step 2: Convert to fraction form
    950.09/1,311.14 = 551.84/x
  3. Step 3: Cross multiply
    950.09x = 1,311.14 × 551.84
  4. Step 4: Simplify right side
    950.09x = 723,530.18
  5. Step 5: Solve for x
    x = 723,530.18/950.09
  6. Step 6: Final answer
    x = 761.54

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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.