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Finding the Fourth Proportional to 1,016.42, 1,523.90 and 522.97

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Solution

The fourth proportional to 1,016.42, 1,523.90 and 522.97 is: 784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.42 : 1,523.90 = 522.97 : x
  2. Step 2: Convert to fraction form
    1,016.42/1,523.90 = 522.97/x
  3. Step 3: Cross multiply
    1,016.42x = 1,523.90 × 522.97
  4. Step 4: Simplify right side
    1,016.42x = 796,951.48
  5. Step 5: Solve for x
    x = 796,951.48/1,016.42
  6. Step 6: Final answer
    x = 784.08

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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.