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Finding the Fourth Proportional to 798.07, 1,196.40 and 310.77

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Solution

The fourth proportional to 798.07, 1,196.40 and 310.77 is: 465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.07 : 1,196.40 = 310.77 : x
  2. Step 2: Convert to fraction form
    798.07/1,196.40 = 310.77/x
  3. Step 3: Cross multiply
    798.07x = 1,196.40 × 310.77
  4. Step 4: Simplify right side
    798.07x = 371,805.23
  5. Step 5: Solve for x
    x = 371,805.23/798.07
  6. Step 6: Final answer
    x = 465.88

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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.