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Finding the Fourth Proportional to 1,182.85, 1,773.85 and 349.69

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Solution

The fourth proportional to 1,182.85, 1,773.85 and 349.69 is: 524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.85 : 1,773.85 = 349.69 : x
  2. Step 2: Convert to fraction form
    1,182.85/1,773.85 = 349.69/x
  3. Step 3: Cross multiply
    1,182.85x = 1,773.85 × 349.69
  4. Step 4: Simplify right side
    1,182.85x = 620,297.61
  5. Step 5: Solve for x
    x = 620,297.61/1,182.85
  6. Step 6: Final answer
    x = 524.41

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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.