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Finding the Fourth Proportional to 1,016.84, 1,524.09 and 400.21

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Solution

The fourth proportional to 1,016.84, 1,524.09 and 400.21 is: 599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.84 : 1,524.09 = 400.21 : x
  2. Step 2: Convert to fraction form
    1,016.84/1,524.09 = 400.21/x
  3. Step 3: Cross multiply
    1,016.84x = 1,524.09 × 400.21
  4. Step 4: Simplify right side
    1,016.84x = 609,956.06
  5. Step 5: Solve for x
    x = 609,956.06/1,016.84
  6. Step 6: Final answer
    x = 599.85

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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.