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Finding the Fourth Proportional to 1,092.17, 1,637.71 and 572.09

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Solution

The fourth proportional to 1,092.17, 1,637.71 and 572.09 is: 857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.17 : 1,637.71 = 572.09 : x
  2. Step 2: Convert to fraction form
    1,092.17/1,637.71 = 572.09/x
  3. Step 3: Cross multiply
    1,092.17x = 1,637.71 × 572.09
  4. Step 4: Simplify right side
    1,092.17x = 936,906.46
  5. Step 5: Solve for x
    x = 936,906.46/1,092.17
  6. Step 6: Final answer
    x = 857.84

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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.