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Finding the Fourth Proportional to 1,273.89, 1,757.89 and 706.69

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Solution

The fourth proportional to 1,273.89, 1,757.89 and 706.69 is: 975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.89 : 1,757.89 = 706.69 : x
  2. Step 2: Convert to fraction form
    1,273.89/1,757.89 = 706.69/x
  3. Step 3: Cross multiply
    1,273.89x = 1,757.89 × 706.69
  4. Step 4: Simplify right side
    1,273.89x = 1,242,283.28
  5. Step 5: Solve for x
    x = 1,242,283.28/1,273.89
  6. Step 6: Final answer
    x = 975.19

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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.