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Finding the Fourth Proportional to 982.01, 1,355.53 and 650.54

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Solution

The fourth proportional to 982.01, 1,355.53 and 650.54 is: 897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.01 : 1,355.53 = 650.54 : x
  2. Step 2: Convert to fraction form
    982.01/1,355.53 = 650.54/x
  3. Step 3: Cross multiply
    982.01x = 1,355.53 × 650.54
  4. Step 4: Simplify right side
    982.01x = 881,825.60
  5. Step 5: Solve for x
    x = 881,825.60/982.01
  6. Step 6: Final answer
    x = 897.98

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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.