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Finding the Fourth Proportional to 795.35, 1,192.38 and 487.14

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Solution

The fourth proportional to 795.35, 1,192.38 and 487.14 is: 730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.35 : 1,192.38 = 487.14 : x
  2. Step 2: Convert to fraction form
    795.35/1,192.38 = 487.14/x
  3. Step 3: Cross multiply
    795.35x = 1,192.38 × 487.14
  4. Step 4: Simplify right side
    795.35x = 580,855.99
  5. Step 5: Solve for x
    x = 580,855.99/795.35
  6. Step 6: Final answer
    x = 730.32

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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.