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Finding the Fourth Proportional to 797.64, 1,196.82 and 358.92

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Solution

The fourth proportional to 797.64, 1,196.82 and 358.92 is: 538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.64 : 1,196.82 = 358.92 : x
  2. Step 2: Convert to fraction form
    797.64/1,196.82 = 358.92/x
  3. Step 3: Cross multiply
    797.64x = 1,196.82 × 358.92
  4. Step 4: Simplify right side
    797.64x = 429,562.63
  5. Step 5: Solve for x
    x = 429,562.63/797.64
  6. Step 6: Final answer
    x = 538.54

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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.