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Finding the Fourth Proportional to 983.21, 1,473.53 and 495.99

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Solution

The fourth proportional to 983.21, 1,473.53 and 495.99 is: 743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.21 : 1,473.53 = 495.99 : x
  2. Step 2: Convert to fraction form
    983.21/1,473.53 = 495.99/x
  3. Step 3: Cross multiply
    983.21x = 1,473.53 × 495.99
  4. Step 4: Simplify right side
    983.21x = 730,853.66
  5. Step 5: Solve for x
    x = 730,853.66/983.21
  6. Step 6: Final answer
    x = 743.34

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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.