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Finding the Fourth Proportional to 982.05, 1,473.56 and 462.03

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Solution

The fourth proportional to 982.05, 1,473.56 and 462.03 is: 693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.05 : 1,473.56 = 462.03 : x
  2. Step 2: Convert to fraction form
    982.05/1,473.56 = 462.03/x
  3. Step 3: Cross multiply
    982.05x = 1,473.56 × 462.03
  4. Step 4: Simplify right side
    982.05x = 680,831.11
  5. Step 5: Solve for x
    x = 680,831.11/982.05
  6. Step 6: Final answer
    x = 693.27

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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.