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Finding the Fourth Proportional to 793.47, 1,095.17 and 461.96

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Solution

The fourth proportional to 793.47, 1,095.17 and 461.96 is: 637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.47 : 1,095.17 = 461.96 : x
  2. Step 2: Convert to fraction form
    793.47/1,095.17 = 461.96/x
  3. Step 3: Cross multiply
    793.47x = 1,095.17 × 461.96
  4. Step 4: Simplify right side
    793.47x = 505,916.95
  5. Step 5: Solve for x
    x = 505,916.95/793.47
  6. Step 6: Final answer
    x = 637.60

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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.