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Finding the Fourth Proportional to 796.70, 1,097.32 and 731.08

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Solution

The fourth proportional to 796.70, 1,097.32 and 731.08 is: 1,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.70 : 1,097.32 = 731.08 : x
  2. Step 2: Convert to fraction form
    796.70/1,097.32 = 731.08/x
  3. Step 3: Cross multiply
    796.70x = 1,097.32 × 731.08
  4. Step 4: Simplify right side
    796.70x = 802,228.71
  5. Step 5: Solve for x
    x = 802,228.71/796.70
  6. Step 6: Final answer
    x = 1,006.94

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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.