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Finding the Fourth Proportional to 795.02, 1,193.07 and 611.78

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Solution

The fourth proportional to 795.02, 1,193.07 and 611.78 is: 918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.02 : 1,193.07 = 611.78 : x
  2. Step 2: Convert to fraction form
    795.02/1,193.07 = 611.78/x
  3. Step 3: Cross multiply
    795.02x = 1,193.07 × 611.78
  4. Step 4: Simplify right side
    795.02x = 729,896.36
  5. Step 5: Solve for x
    x = 729,896.36/795.02
  6. Step 6: Final answer
    x = 918.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.