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Finding the Fourth Proportional to 798.30, 1,196.55 and 335.93

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Solution

The fourth proportional to 798.30, 1,196.55 and 335.93 is: 503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.30 : 1,196.55 = 335.93 : x
  2. Step 2: Convert to fraction form
    798.30/1,196.55 = 335.93/x
  3. Step 3: Cross multiply
    798.30x = 1,196.55 × 335.93
  4. Step 4: Simplify right side
    798.30x = 401,951.06
  5. Step 5: Solve for x
    x = 401,951.06/798.30
  6. Step 6: Final answer
    x = 503.51

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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.