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Finding the Fourth Proportional to 982.29, 1,355.62 and 650.14

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Solution

The fourth proportional to 982.29, 1,355.62 and 650.14 is: 897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.29 : 1,355.62 = 650.14 : x
  2. Step 2: Convert to fraction form
    982.29/1,355.62 = 650.14/x
  3. Step 3: Cross multiply
    982.29x = 1,355.62 × 650.14
  4. Step 4: Simplify right side
    982.29x = 881,342.79
  5. Step 5: Solve for x
    x = 881,342.79/982.29
  6. Step 6: Final answer
    x = 897.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.