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Finding the Fourth Proportional to 705.09, 979.73 and 697.48

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Solution

The fourth proportional to 705.09, 979.73 and 697.48 is: 969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.09 : 979.73 = 697.48 : x
  2. Step 2: Convert to fraction form
    705.09/979.73 = 697.48/x
  3. Step 3: Cross multiply
    705.09x = 979.73 × 697.48
  4. Step 4: Simplify right side
    705.09x = 683,340.34
  5. Step 5: Solve for x
    x = 683,340.34/705.09
  6. Step 6: Final answer
    x = 969.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.