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Finding the Fourth Proportional to 793.82, 1,095.50 and 462.35

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Solution

The fourth proportional to 793.82, 1,095.50 and 462.35 is: 638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.82 : 1,095.50 = 462.35 : x
  2. Step 2: Convert to fraction form
    793.82/1,095.50 = 462.35/x
  3. Step 3: Cross multiply
    793.82x = 1,095.50 × 462.35
  4. Step 4: Simplify right side
    793.82x = 506,504.43
  5. Step 5: Solve for x
    x = 506,504.43/793.82
  6. Step 6: Final answer
    x = 638.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.