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Finding the Fourth Proportional to 798.02, 1,196.52 and 310.55

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Solution

The fourth proportional to 798.02, 1,196.52 and 310.55 is: 465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.02 : 1,196.52 = 310.55 : x
  2. Step 2: Convert to fraction form
    798.02/1,196.52 = 310.55/x
  3. Step 3: Cross multiply
    798.02x = 1,196.52 × 310.55
  4. Step 4: Simplify right side
    798.02x = 371,579.29
  5. Step 5: Solve for x
    x = 371,579.29/798.02
  6. Step 6: Final answer
    x = 465.63

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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.