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Finding the Fourth Proportional to 1,016.23, 1,524.50 and 322.67

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Solution

The fourth proportional to 1,016.23, 1,524.50 and 322.67 is: 484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.23 : 1,524.50 = 322.67 : x
  2. Step 2: Convert to fraction form
    1,016.23/1,524.50 = 322.67/x
  3. Step 3: Cross multiply
    1,016.23x = 1,524.50 × 322.67
  4. Step 4: Simplify right side
    1,016.23x = 491,910.42
  5. Step 5: Solve for x
    x = 491,910.42/1,016.23
  6. Step 6: Final answer
    x = 484.05

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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.