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Finding the Fourth Proportional to 1,016.86, 1,525.28 and 286.43

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Solution

The fourth proportional to 1,016.86, 1,525.28 and 286.43 is: 429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.86 : 1,525.28 = 286.43 : x
  2. Step 2: Convert to fraction form
    1,016.86/1,525.28 = 286.43/x
  3. Step 3: Cross multiply
    1,016.86x = 1,525.28 × 286.43
  4. Step 4: Simplify right side
    1,016.86x = 436,876.89
  5. Step 5: Solve for x
    x = 436,876.89/1,016.86
  6. Step 6: Final answer
    x = 429.64

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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.