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Finding the Fourth Proportional to 1,072, 1,605.42 and 522.82

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Solution

The fourth proportional to 1,072, 1,605.42 and 522.82 is: 782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072 : 1,605.42 = 522.82 : x
  2. Step 2: Convert to fraction form
    1,072/1,605.42 = 522.82/x
  3. Step 3: Cross multiply
    1,072x = 1,605.42 × 522.82
  4. Step 4: Simplify right side
    1,072x = 839,345.68
  5. Step 5: Solve for x
    x = 839,345.68/1,072
  6. Step 6: Final answer
    x = 782.97

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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.