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Finding the Fourth Proportional to 984.93, 1,479.06 and 945.69

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Solution

The fourth proportional to 984.93, 1,479.06 and 945.69 is: 1,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.93 : 1,479.06 = 945.69 : x
  2. Step 2: Convert to fraction form
    984.93/1,479.06 = 945.69/x
  3. Step 3: Cross multiply
    984.93x = 1,479.06 × 945.69
  4. Step 4: Simplify right side
    984.93x = 1,398,732.25
  5. Step 5: Solve for x
    x = 1,398,732.25/984.93
  6. Step 6: Final answer
    x = 1,420.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.