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Finding the Fourth Proportional to 798.09, 1,196.13 and 358.88

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Solution

The fourth proportional to 798.09, 1,196.13 and 358.88 is: 537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.09 : 1,196.13 = 358.88 : x
  2. Step 2: Convert to fraction form
    798.09/1,196.13 = 358.88/x
  3. Step 3: Cross multiply
    798.09x = 1,196.13 × 358.88
  4. Step 4: Simplify right side
    798.09x = 429,262.72
  5. Step 5: Solve for x
    x = 429,262.72/798.09
  6. Step 6: Final answer
    x = 537.86

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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.