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Finding the Fourth Proportional to 982.28, 1,355.20 and 609.56

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Solution

The fourth proportional to 982.28, 1,355.20 and 609.56 is: 840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.28 : 1,355.20 = 609.56 : x
  2. Step 2: Convert to fraction form
    982.28/1,355.20 = 609.56/x
  3. Step 3: Cross multiply
    982.28x = 1,355.20 × 609.56
  4. Step 4: Simplify right side
    982.28x = 826,075.71
  5. Step 5: Solve for x
    x = 826,075.71/982.28
  6. Step 6: Final answer
    x = 840.98

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