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Finding the Fourth Proportional to 798.13, 1,196.72 and 310.61

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Solution

The fourth proportional to 798.13, 1,196.72 and 310.61 is: 465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.13 : 1,196.72 = 310.61 : x
  2. Step 2: Convert to fraction form
    798.13/1,196.72 = 310.61/x
  3. Step 3: Cross multiply
    798.13x = 1,196.72 × 310.61
  4. Step 4: Simplify right side
    798.13x = 371,714.64
  5. Step 5: Solve for x
    x = 371,714.64/798.13
  6. Step 6: Final answer
    x = 465.73

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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.