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Finding the Fourth Proportional to 793.95, 1,095.73 and 457.87

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Solution

The fourth proportional to 793.95, 1,095.73 and 457.87 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.95 : 1,095.73 = 457.87 : x
  2. Step 2: Convert to fraction form
    793.95/1,095.73 = 457.87/x
  3. Step 3: Cross multiply
    793.95x = 1,095.73 × 457.87
  4. Step 4: Simplify right side
    793.95x = 501,696.99
  5. Step 5: Solve for x
    x = 501,696.99/793.95
  6. Step 6: Final answer
    x = 631.90

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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.