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Finding the Fourth Proportional to 797.34, 1,196.25 and 538.38

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Solution

The fourth proportional to 797.34, 1,196.25 and 538.38 is: 807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.34 : 1,196.25 = 538.38 : x
  2. Step 2: Convert to fraction form
    797.34/1,196.25 = 538.38/x
  3. Step 3: Cross multiply
    797.34x = 1,196.25 × 538.38
  4. Step 4: Simplify right side
    797.34x = 644,037.08
  5. Step 5: Solve for x
    x = 644,037.08/797.34
  6. Step 6: Final answer
    x = 807.73

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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.