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Finding the Fourth Proportional to 795.77, 1,098.12 and 441.68

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Solution

The fourth proportional to 795.77, 1,098.12 and 441.68 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.77 : 1,098.12 = 441.68 : x
  2. Step 2: Convert to fraction form
    795.77/1,098.12 = 441.68/x
  3. Step 3: Cross multiply
    795.77x = 1,098.12 × 441.68
  4. Step 4: Simplify right side
    795.77x = 485,012.15
  5. Step 5: Solve for x
    x = 485,012.15/795.77
  6. Step 6: Final answer
    x = 609.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.