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Finding the Fourth Proportional to 982.71, 1,473.27 and 462.45

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Solution

The fourth proportional to 982.71, 1,473.27 and 462.45 is: 693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.71 : 1,473.27 = 462.45 : x
  2. Step 2: Convert to fraction form
    982.71/1,473.27 = 462.45/x
  3. Step 3: Cross multiply
    982.71x = 1,473.27 × 462.45
  4. Step 4: Simplify right side
    982.71x = 681,313.71
  5. Step 5: Solve for x
    x = 681,313.71/982.71
  6. Step 6: Final answer
    x = 693.30

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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.