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Finding the Fourth Proportional to 1,016.92, 1,525.14 and 286.33

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Solution

The fourth proportional to 1,016.92, 1,525.14 and 286.33 is: 429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.92 : 1,525.14 = 286.33 : x
  2. Step 2: Convert to fraction form
    1,016.92/1,525.14 = 286.33/x
  3. Step 3: Cross multiply
    1,016.92x = 1,525.14 × 286.33
  4. Step 4: Simplify right side
    1,016.92x = 436,693.34
  5. Step 5: Solve for x
    x = 436,693.34/1,016.92
  6. Step 6: Final answer
    x = 429.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.