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Finding the Fourth Proportional to 1,014.51, 1,520.84 and 365.09

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Solution

The fourth proportional to 1,014.51, 1,520.84 and 365.09 is: 547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.51 : 1,520.84 = 365.09 : x
  2. Step 2: Convert to fraction form
    1,014.51/1,520.84 = 365.09/x
  3. Step 3: Cross multiply
    1,014.51x = 1,520.84 × 365.09
  4. Step 4: Simplify right side
    1,014.51x = 555,234.05
  5. Step 5: Solve for x
    x = 555,234.05/1,014.51
  6. Step 6: Final answer
    x = 547.29

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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.