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Finding the Fourth Proportional to 795.13, 1,192.33 and 307.82

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Solution

The fourth proportional to 795.13, 1,192.33 and 307.82 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.13 : 1,192.33 = 307.82 : x
  2. Step 2: Convert to fraction form
    795.13/1,192.33 = 307.82/x
  3. Step 3: Cross multiply
    795.13x = 1,192.33 × 307.82
  4. Step 4: Simplify right side
    795.13x = 367,023.02
  5. Step 5: Solve for x
    x = 367,023.02/795.13
  6. Step 6: Final answer
    x = 461.59

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