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Finding the Fourth Proportional to 1,171.49, 1,757.48 and 349.83

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Solution

The fourth proportional to 1,171.49, 1,757.48 and 349.83 is: 524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.49 : 1,757.48 = 349.83 : x
  2. Step 2: Convert to fraction form
    1,171.49/1,757.48 = 349.83/x
  3. Step 3: Cross multiply
    1,171.49x = 1,757.48 × 349.83
  4. Step 4: Simplify right side
    1,171.49x = 614,810.44
  5. Step 5: Solve for x
    x = 614,810.44/1,171.49
  6. Step 6: Final answer
    x = 524.81

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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.