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Finding the Fourth Proportional to 1,092.25, 1,638.42 and 322.75

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Solution

The fourth proportional to 1,092.25, 1,638.42 and 322.75 is: 484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.25 : 1,638.42 = 322.75 : x
  2. Step 2: Convert to fraction form
    1,092.25/1,638.42 = 322.75/x
  3. Step 3: Cross multiply
    1,092.25x = 1,638.42 × 322.75
  4. Step 4: Simplify right side
    1,092.25x = 528,800.06
  5. Step 5: Solve for x
    x = 528,800.06/1,092.25
  6. Step 6: Final answer
    x = 484.14

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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.