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Finding the Fourth Proportional to 796.24, 1,095.96 and 732.52

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Solution

The fourth proportional to 796.24, 1,095.96 and 732.52 is: 1,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.24 : 1,095.96 = 732.52 : x
  2. Step 2: Convert to fraction form
    796.24/1,095.96 = 732.52/x
  3. Step 3: Cross multiply
    796.24x = 1,095.96 × 732.52
  4. Step 4: Simplify right side
    796.24x = 802,812.62
  5. Step 5: Solve for x
    x = 802,812.62/796.24
  6. Step 6: Final answer
    x = 1,008.25

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Why These Related Problems?

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