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Finding the Fourth Proportional to 785.92, 1,177.88 and 323.17

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Solution

The fourth proportional to 785.92, 1,177.88 and 323.17 is: 484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.92 : 1,177.88 = 323.17 : x
  2. Step 2: Convert to fraction form
    785.92/1,177.88 = 323.17/x
  3. Step 3: Cross multiply
    785.92x = 1,177.88 × 323.17
  4. Step 4: Simplify right side
    785.92x = 380,650.92
  5. Step 5: Solve for x
    x = 380,650.92/785.92
  6. Step 6: Final answer
    x = 484.34

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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.