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Finding the Fourth Proportional to 1,550.21, 2,325.65 and 510.44

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Solution

The fourth proportional to 1,550.21, 2,325.65 and 510.44 is: 765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.21 : 2,325.65 = 510.44 : x
  2. Step 2: Convert to fraction form
    1,550.21/2,325.65 = 510.44/x
  3. Step 3: Cross multiply
    1,550.21x = 2,325.65 × 510.44
  4. Step 4: Simplify right side
    1,550.21x = 1,187,090.61
  5. Step 5: Solve for x
    x = 1,187,090.61/1,550.21
  6. Step 6: Final answer
    x = 765.76

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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.