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Finding the Fourth Proportional to 797.42, 1,196.19 and 310.43

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Solution

The fourth proportional to 797.42, 1,196.19 and 310.43 is: 465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.42 : 1,196.19 = 310.43 : x
  2. Step 2: Convert to fraction form
    797.42/1,196.19 = 310.43/x
  3. Step 3: Cross multiply
    797.42x = 1,196.19 × 310.43
  4. Step 4: Simplify right side
    797.42x = 371,333.26
  5. Step 5: Solve for x
    x = 371,333.26/797.42
  6. Step 6: Final answer
    x = 465.67

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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.