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Finding the Fourth Proportional to 1,016.59, 1,524.94 and 286.22

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Solution

The fourth proportional to 1,016.59, 1,524.94 and 286.22 is: 429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.59 : 1,524.94 = 286.22 : x
  2. Step 2: Convert to fraction form
    1,016.59/1,524.94 = 286.22/x
  3. Step 3: Cross multiply
    1,016.59x = 1,524.94 × 286.22
  4. Step 4: Simplify right side
    1,016.59x = 436,468.33
  5. Step 5: Solve for x
    x = 436,468.33/1,016.59
  6. Step 6: Final answer
    x = 429.35

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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.