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Finding the Fourth Proportional to 796.57, 1,099.28 and 460.47

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Solution

The fourth proportional to 796.57, 1,099.28 and 460.47 is: 635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.57 : 1,099.28 = 460.47 : x
  2. Step 2: Convert to fraction form
    796.57/1,099.28 = 460.47/x
  3. Step 3: Cross multiply
    796.57x = 1,099.28 × 460.47
  4. Step 4: Simplify right side
    796.57x = 506,185.46
  5. Step 5: Solve for x
    x = 506,185.46/796.57
  6. Step 6: Final answer
    x = 635.46

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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.