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Finding the Fourth Proportional to 1,273.96, 1,911.12 and 452.53

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Solution

The fourth proportional to 1,273.96, 1,911.12 and 452.53 is: 678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.96 : 1,911.12 = 452.53 : x
  2. Step 2: Convert to fraction form
    1,273.96/1,911.12 = 452.53/x
  3. Step 3: Cross multiply
    1,273.96x = 1,911.12 × 452.53
  4. Step 4: Simplify right side
    1,273.96x = 864,839.13
  5. Step 5: Solve for x
    x = 864,839.13/1,273.96
  6. Step 6: Final answer
    x = 678.86

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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.