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Finding the Fourth Proportional to 797.75, 1,196.16 and 310.23

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Solution

The fourth proportional to 797.75, 1,196.16 and 310.23 is: 465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.75 : 1,196.16 = 310.23 : x
  2. Step 2: Convert to fraction form
    797.75/1,196.16 = 310.23/x
  3. Step 3: Cross multiply
    797.75x = 1,196.16 × 310.23
  4. Step 4: Simplify right side
    797.75x = 371,088.04
  5. Step 5: Solve for x
    x = 371,088.04/797.75
  6. Step 6: Final answer
    x = 465.17

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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.