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Finding the Fourth Proportional to 797.03, 1,196.09 and 310.08

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Solution

The fourth proportional to 797.03, 1,196.09 and 310.08 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.03 : 1,196.09 = 310.08 : x
  2. Step 2: Convert to fraction form
    797.03/1,196.09 = 310.08/x
  3. Step 3: Cross multiply
    797.03x = 1,196.09 × 310.08
  4. Step 4: Simplify right side
    797.03x = 370,882.04
  5. Step 5: Solve for x
    x = 370,882.04/797.03
  6. Step 6: Final answer
    x = 465.33

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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.