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Finding the Fourth Proportional to 1,321.37, 1,982.60 and 590.45

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Solution

The fourth proportional to 1,321.37, 1,982.60 and 590.45 is: 885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.37 : 1,982.60 = 590.45 : x
  2. Step 2: Convert to fraction form
    1,321.37/1,982.60 = 590.45/x
  3. Step 3: Cross multiply
    1,321.37x = 1,982.60 × 590.45
  4. Step 4: Simplify right side
    1,321.37x = 1,170,613.30
  5. Step 5: Solve for x
    x = 1,170,613.30/1,321.37
  6. Step 6: Final answer
    x = 885.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.