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Finding the Fourth Proportional to 1,092.28, 1,638.36 and 322.76

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Solution

The fourth proportional to 1,092.28, 1,638.36 and 322.76 is: 484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.28 : 1,638.36 = 322.76 : x
  2. Step 2: Convert to fraction form
    1,092.28/1,638.36 = 322.76/x
  3. Step 3: Cross multiply
    1,092.28x = 1,638.36 × 322.76
  4. Step 4: Simplify right side
    1,092.28x = 528,797.07
  5. Step 5: Solve for x
    x = 528,797.07/1,092.28
  6. Step 6: Final answer
    x = 484.12

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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.