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Finding the Fourth Proportional to 1,273.89, 1,757.99 and 714.48

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Solution

The fourth proportional to 1,273.89, 1,757.99 and 714.48 is: 985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.89 : 1,757.99 = 714.48 : x
  2. Step 2: Convert to fraction form
    1,273.89/1,757.99 = 714.48/x
  3. Step 3: Cross multiply
    1,273.89x = 1,757.99 × 714.48
  4. Step 4: Simplify right side
    1,273.89x = 1,256,045.12
  5. Step 5: Solve for x
    x = 1,256,045.12/1,273.89
  6. Step 6: Final answer
    x = 985.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.