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Finding the Fourth Proportional to 1,167.12, 1,749.96 and 551

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Solution

The fourth proportional to 1,167.12, 1,749.96 and 551 is: 826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.12 : 1,749.96 = 551 : x
  2. Step 2: Convert to fraction form
    1,167.12/1,749.96 = 551/x
  3. Step 3: Cross multiply
    1,167.12x = 1,749.96 × 551
  4. Step 4: Simplify right side
    1,167.12x = 964,227.96
  5. Step 5: Solve for x
    x = 964,227.96/1,167.12
  6. Step 6: Final answer
    x = 826.16

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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.