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Finding the Fourth Proportional to 1,325.30, 1,987.20 and 594.41

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Solution

The fourth proportional to 1,325.30, 1,987.20 and 594.41 is: 891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.30 : 1,987.20 = 594.41 : x
  2. Step 2: Convert to fraction form
    1,325.30/1,987.20 = 594.41/x
  3. Step 3: Cross multiply
    1,325.30x = 1,987.20 × 594.41
  4. Step 4: Simplify right side
    1,325.30x = 1,181,201.62
  5. Step 5: Solve for x
    x = 1,181,201.62/1,325.30
  6. Step 6: Final answer
    x = 891.27

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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.