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Finding the Fourth Proportional to 795.95, 1,193.93 and 218.82

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Solution

The fourth proportional to 795.95, 1,193.93 and 218.82 is: 328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.95 : 1,193.93 = 218.82 : x
  2. Step 2: Convert to fraction form
    795.95/1,193.93 = 218.82/x
  3. Step 3: Cross multiply
    795.95x = 1,193.93 × 218.82
  4. Step 4: Simplify right side
    795.95x = 261,254.67
  5. Step 5: Solve for x
    x = 261,254.67/795.95
  6. Step 6: Final answer
    x = 328.23

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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.