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Finding the Fourth Proportional to 1,171.85, 1,757.82 and 306.14

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Solution

The fourth proportional to 1,171.85, 1,757.82 and 306.14 is: 459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.85 : 1,757.82 = 306.14 : x
  2. Step 2: Convert to fraction form
    1,171.85/1,757.82 = 306.14/x
  3. Step 3: Cross multiply
    1,171.85x = 1,757.82 × 306.14
  4. Step 4: Simplify right side
    1,171.85x = 538,139.01
  5. Step 5: Solve for x
    x = 538,139.01/1,171.85
  6. Step 6: Final answer
    x = 459.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.