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Finding the Fourth Proportional to 984.07, 1,358.15 and 685.79

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Solution

The fourth proportional to 984.07, 1,358.15 and 685.79 is: 946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.07 : 1,358.15 = 685.79 : x
  2. Step 2: Convert to fraction form
    984.07/1,358.15 = 685.79/x
  3. Step 3: Cross multiply
    984.07x = 1,358.15 × 685.79
  4. Step 4: Simplify right side
    984.07x = 931,405.69
  5. Step 5: Solve for x
    x = 931,405.69/984.07
  6. Step 6: Final answer
    x = 946.48

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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.