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Finding the Fourth Proportional to 785.34, 1,177.97 and 323.00

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Solution

The fourth proportional to 785.34, 1,177.97 and 323.00 is: 484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,177.97 = 323.00 : x
  2. Step 2: Convert to fraction form
    785.34/1,177.97 = 323.00/x
  3. Step 3: Cross multiply
    785.34x = 1,177.97 × 323.00
  4. Step 4: Simplify right side
    785.34x = 380,488.06
  5. Step 5: Solve for x
    x = 380,488.06/785.34
  6. Step 6: Final answer
    x = 484.49

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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.