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Finding the Fourth Proportional to 796.10, 1,193.57 and 535.45

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Solution

The fourth proportional to 796.10, 1,193.57 and 535.45 is: 802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.10 : 1,193.57 = 535.45 : x
  2. Step 2: Convert to fraction form
    796.10/1,193.57 = 535.45/x
  3. Step 3: Cross multiply
    796.10x = 1,193.57 × 535.45
  4. Step 4: Simplify right side
    796.10x = 639,097.88
  5. Step 5: Solve for x
    x = 639,097.88/796.10
  6. Step 6: Final answer
    x = 802.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.