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Finding the Fourth Proportional to 982.30, 1,472.91 and 454.63

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Solution

The fourth proportional to 982.30, 1,472.91 and 454.63 is: 681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.30 : 1,472.91 = 454.63 : x
  2. Step 2: Convert to fraction form
    982.30/1,472.91 = 454.63/x
  3. Step 3: Cross multiply
    982.30x = 1,472.91 × 454.63
  4. Step 4: Simplify right side
    982.30x = 669,629.07
  5. Step 5: Solve for x
    x = 669,629.07/982.30
  6. Step 6: Final answer
    x = 681.70

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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.