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Finding the Fourth Proportional to 1,016.52, 1,524.72 and 286.08

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Solution

The fourth proportional to 1,016.52, 1,524.72 and 286.08 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.52 : 1,524.72 = 286.08 : x
  2. Step 2: Convert to fraction form
    1,016.52/1,524.72 = 286.08/x
  3. Step 3: Cross multiply
    1,016.52x = 1,524.72 × 286.08
  4. Step 4: Simplify right side
    1,016.52x = 436,191.90
  5. Step 5: Solve for x
    x = 436,191.90/1,016.52
  6. Step 6: Final answer
    x = 429.10

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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.