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Finding the Fourth Proportional to 797.02, 1,193.70 and 729.58

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Solution

The fourth proportional to 797.02, 1,193.70 and 729.58 is: 1,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.02 : 1,193.70 = 729.58 : x
  2. Step 2: Convert to fraction form
    797.02/1,193.70 = 729.58/x
  3. Step 3: Cross multiply
    797.02x = 1,193.70 × 729.58
  4. Step 4: Simplify right side
    797.02x = 870,899.65
  5. Step 5: Solve for x
    x = 870,899.65/797.02
  6. Step 6: Final answer
    x = 1,092.69

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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.