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Finding the Fourth Proportional to 1,016.42, 1,524.68 and 286.07

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Solution

The fourth proportional to 1,016.42, 1,524.68 and 286.07 is: 429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.42 : 1,524.68 = 286.07 : x
  2. Step 2: Convert to fraction form
    1,016.42/1,524.68 = 286.07/x
  3. Step 3: Cross multiply
    1,016.42x = 1,524.68 × 286.07
  4. Step 4: Simplify right side
    1,016.42x = 436,165.21
  5. Step 5: Solve for x
    x = 436,165.21/1,016.42
  6. Step 6: Final answer
    x = 429.12

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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.