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Finding the Fourth Proportional to 1,072.82, 1,608.69 and 525.26

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Solution

The fourth proportional to 1,072.82, 1,608.69 and 525.26 is: 787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.82 : 1,608.69 = 525.26 : x
  2. Step 2: Convert to fraction form
    1,072.82/1,608.69 = 525.26/x
  3. Step 3: Cross multiply
    1,072.82x = 1,608.69 × 525.26
  4. Step 4: Simplify right side
    1,072.82x = 844,980.51
  5. Step 5: Solve for x
    x = 844,980.51/1,072.82
  6. Step 6: Final answer
    x = 787.63

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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.