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Finding the Fourth Proportional to 1,219.53, 1,829.52 and 397.85

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Solution

The fourth proportional to 1,219.53, 1,829.52 and 397.85 is: 596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.53 : 1,829.52 = 397.85 : x
  2. Step 2: Convert to fraction form
    1,219.53/1,829.52 = 397.85/x
  3. Step 3: Cross multiply
    1,219.53x = 1,829.52 × 397.85
  4. Step 4: Simplify right side
    1,219.53x = 727,865.38
  5. Step 5: Solve for x
    x = 727,865.38/1,219.53
  6. Step 6: Final answer
    x = 596.84

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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.