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Finding the Fourth Proportional to 1,014.05, 1,521.24 and 320.55

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Solution

The fourth proportional to 1,014.05, 1,521.24 and 320.55 is: 480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.05 : 1,521.24 = 320.55 : x
  2. Step 2: Convert to fraction form
    1,014.05/1,521.24 = 320.55/x
  3. Step 3: Cross multiply
    1,014.05x = 1,521.24 × 320.55
  4. Step 4: Simplify right side
    1,014.05x = 487,633.48
  5. Step 5: Solve for x
    x = 487,633.48/1,014.05
  6. Step 6: Final answer
    x = 480.88

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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.