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Finding the Fourth Proportional to 786.35, 1,179.12 and 324.04

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Solution

The fourth proportional to 786.35, 1,179.12 and 324.04 is: 485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.35 : 1,179.12 = 324.04 : x
  2. Step 2: Convert to fraction form
    786.35/1,179.12 = 324.04/x
  3. Step 3: Cross multiply
    786.35x = 1,179.12 × 324.04
  4. Step 4: Simplify right side
    786.35x = 382,080.42
  5. Step 5: Solve for x
    x = 382,080.42/786.35
  6. Step 6: Final answer
    x = 485.89

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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.