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Finding the Fourth Proportional to 1,240.49, 1,711.96 and 709.54

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Solution

The fourth proportional to 1,240.49, 1,711.96 and 709.54 is: 979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.49 : 1,711.96 = 709.54 : x
  2. Step 2: Convert to fraction form
    1,240.49/1,711.96 = 709.54/x
  3. Step 3: Cross multiply
    1,240.49x = 1,711.96 × 709.54
  4. Step 4: Simplify right side
    1,240.49x = 1,214,699.45
  5. Step 5: Solve for x
    x = 1,214,699.45/1,240.49
  6. Step 6: Final answer
    x = 979.21

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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.