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Finding the Fourth Proportional to 936.30, 1,402.43 and 814.80

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Solution

The fourth proportional to 936.30, 1,402.43 and 814.80 is: 1,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.30 : 1,402.43 = 814.80 : x
  2. Step 2: Convert to fraction form
    936.30/1,402.43 = 814.80/x
  3. Step 3: Cross multiply
    936.30x = 1,402.43 × 814.80
  4. Step 4: Simplify right side
    936.30x = 1,142,695.89
  5. Step 5: Solve for x
    x = 1,142,695.89/936.30
  6. Step 6: Final answer
    x = 1,220.44

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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.