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Finding the Fourth Proportional to 1,016.10, 1,524.12 and 322.80

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Solution

The fourth proportional to 1,016.10, 1,524.12 and 322.80 is: 484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.10 : 1,524.12 = 322.80 : x
  2. Step 2: Convert to fraction form
    1,016.10/1,524.12 = 322.80/x
  3. Step 3: Cross multiply
    1,016.10x = 1,524.12 × 322.80
  4. Step 4: Simplify right side
    1,016.10x = 491,985.94
  5. Step 5: Solve for x
    x = 491,985.94/1,016.10
  6. Step 6: Final answer
    x = 484.19

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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.