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Finding the Fourth Proportional to 984.30, 1,476.73 and 398.94

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Solution

The fourth proportional to 984.30, 1,476.73 and 398.94 is: 598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.30 : 1,476.73 = 398.94 : x
  2. Step 2: Convert to fraction form
    984.30/1,476.73 = 398.94/x
  3. Step 3: Cross multiply
    984.30x = 1,476.73 × 398.94
  4. Step 4: Simplify right side
    984.30x = 589,126.67
  5. Step 5: Solve for x
    x = 589,126.67/984.30
  6. Step 6: Final answer
    x = 598.52

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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.