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Finding the Fourth Proportional to 732.36, 1,095.77 and 449.93

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Solution

The fourth proportional to 732.36, 1,095.77 and 449.93 is: 673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.36 : 1,095.77 = 449.93 : x
  2. Step 2: Convert to fraction form
    732.36/1,095.77 = 449.93/x
  3. Step 3: Cross multiply
    732.36x = 1,095.77 × 449.93
  4. Step 4: Simplify right side
    732.36x = 493,015.44
  5. Step 5: Solve for x
    x = 493,015.44/732.36
  6. Step 6: Final answer
    x = 673.19

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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.