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Finding the Fourth Proportional to 1,014.27, 1,521.09 and 364.92

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Solution

The fourth proportional to 1,014.27, 1,521.09 and 364.92 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.27 : 1,521.09 = 364.92 : x
  2. Step 2: Convert to fraction form
    1,014.27/1,521.09 = 364.92/x
  3. Step 3: Cross multiply
    1,014.27x = 1,521.09 × 364.92
  4. Step 4: Simplify right side
    1,014.27x = 555,076.16
  5. Step 5: Solve for x
    x = 555,076.16/1,014.27
  6. Step 6: Final answer
    x = 547.27

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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.