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Finding the Fourth Proportional to 795.67, 1,193.66 and 385.09

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Solution

The fourth proportional to 795.67, 1,193.66 and 385.09 is: 577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.67 : 1,193.66 = 385.09 : x
  2. Step 2: Convert to fraction form
    795.67/1,193.66 = 385.09/x
  3. Step 3: Cross multiply
    795.67x = 1,193.66 × 385.09
  4. Step 4: Simplify right side
    795.67x = 459,666.53
  5. Step 5: Solve for x
    x = 459,666.53/795.67
  6. Step 6: Final answer
    x = 577.71

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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.