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Finding the Fourth Proportional to 1,092.63, 1,638.95 and 323.13

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Solution

The fourth proportional to 1,092.63, 1,638.95 and 323.13 is: 484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.63 : 1,638.95 = 323.13 : x
  2. Step 2: Convert to fraction form
    1,092.63/1,638.95 = 323.13/x
  3. Step 3: Cross multiply
    1,092.63x = 1,638.95 × 323.13
  4. Step 4: Simplify right side
    1,092.63x = 529,592.30
  5. Step 5: Solve for x
    x = 529,592.30/1,092.63
  6. Step 6: Final answer
    x = 484.70

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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.