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Finding the Fourth Proportional to 1,092.02, 1,638.30 and 514.76

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Solution

The fourth proportional to 1,092.02, 1,638.30 and 514.76 is: 772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.02 : 1,638.30 = 514.76 : x
  2. Step 2: Convert to fraction form
    1,092.02/1,638.30 = 514.76/x
  3. Step 3: Cross multiply
    1,092.02x = 1,638.30 × 514.76
  4. Step 4: Simplify right side
    1,092.02x = 843,331.31
  5. Step 5: Solve for x
    x = 843,331.31/1,092.02
  6. Step 6: Final answer
    x = 772.27

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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.