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Finding the Fourth Proportional to 984.92, 1,476.95 and 540.08

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Solution

The fourth proportional to 984.92, 1,476.95 and 540.08 is: 809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.92 : 1,476.95 = 540.08 : x
  2. Step 2: Convert to fraction form
    984.92/1,476.95 = 540.08/x
  3. Step 3: Cross multiply
    984.92x = 1,476.95 × 540.08
  4. Step 4: Simplify right side
    984.92x = 797,665.12
  5. Step 5: Solve for x
    x = 797,665.12/984.92
  6. Step 6: Final answer
    x = 809.88

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Why These Related Problems?

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