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Finding the Fourth Proportional to 1,016.54, 1,524.72 and 286.16

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Solution

The fourth proportional to 1,016.54, 1,524.72 and 286.16 is: 429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.54 : 1,524.72 = 286.16 : x
  2. Step 2: Convert to fraction form
    1,016.54/1,524.72 = 286.16/x
  3. Step 3: Cross multiply
    1,016.54x = 1,524.72 × 286.16
  4. Step 4: Simplify right side
    1,016.54x = 436,313.88
  5. Step 5: Solve for x
    x = 436,313.88/1,016.54
  6. Step 6: Final answer
    x = 429.21

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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.