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Finding the Fourth Proportional to 793.50, 1,094.92 and 462.00

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Solution

The fourth proportional to 793.50, 1,094.92 and 462.00 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.50 : 1,094.92 = 462.00 : x
  2. Step 2: Convert to fraction form
    793.50/1,094.92 = 462.00/x
  3. Step 3: Cross multiply
    793.50x = 1,094.92 × 462.00
  4. Step 4: Simplify right side
    793.50x = 505,855.99
  5. Step 5: Solve for x
    x = 505,855.99/793.50
  6. Step 6: Final answer
    x = 637.50

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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.