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Finding the Fourth Proportional to 793.48, 1,095.06 and 461.92

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Solution

The fourth proportional to 793.48, 1,095.06 and 461.92 is: 637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.48 : 1,095.06 = 461.92 : x
  2. Step 2: Convert to fraction form
    793.48/1,095.06 = 461.92/x
  3. Step 3: Cross multiply
    793.48x = 1,095.06 × 461.92
  4. Step 4: Simplify right side
    793.48x = 505,830.12
  5. Step 5: Solve for x
    x = 505,830.12/793.48
  6. Step 6: Final answer
    x = 637.48

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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.