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Finding the Fourth Proportional to 1,016.34, 1,524.20 and 322.98

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Solution

The fourth proportional to 1,016.34, 1,524.20 and 322.98 is: 484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.34 : 1,524.20 = 322.98 : x
  2. Step 2: Convert to fraction form
    1,016.34/1,524.20 = 322.98/x
  3. Step 3: Cross multiply
    1,016.34x = 1,524.20 × 322.98
  4. Step 4: Simplify right side
    1,016.34x = 492,286.12
  5. Step 5: Solve for x
    x = 492,286.12/1,016.34
  6. Step 6: Final answer
    x = 484.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.