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Finding the Fourth Proportional to 1,171.30, 1,756.91 and 349.57

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Solution

The fourth proportional to 1,171.30, 1,756.91 and 349.57 is: 524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.30 : 1,756.91 = 349.57 : x
  2. Step 2: Convert to fraction form
    1,171.30/1,756.91 = 349.57/x
  3. Step 3: Cross multiply
    1,171.30x = 1,756.91 × 349.57
  4. Step 4: Simplify right side
    1,171.30x = 614,163.03
  5. Step 5: Solve for x
    x = 614,163.03/1,171.30
  6. Step 6: Final answer
    x = 524.34

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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.