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Finding the Fourth Proportional to 1,016.82, 1,525.25 and 286.45

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Solution

The fourth proportional to 1,016.82, 1,525.25 and 286.45 is: 429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.82 : 1,525.25 = 286.45 : x
  2. Step 2: Convert to fraction form
    1,016.82/1,525.25 = 286.45/x
  3. Step 3: Cross multiply
    1,016.82x = 1,525.25 × 286.45
  4. Step 4: Simplify right side
    1,016.82x = 436,904.77
  5. Step 5: Solve for x
    x = 436,904.77/1,016.82
  6. Step 6: Final answer
    x = 429.68

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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.