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Finding the Fourth Proportional to 786.24, 1,179.31 and 324.01

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Solution

The fourth proportional to 786.24, 1,179.31 and 324.01 is: 485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.24 : 1,179.31 = 324.01 : x
  2. Step 2: Convert to fraction form
    786.24/1,179.31 = 324.01/x
  3. Step 3: Cross multiply
    786.24x = 1,179.31 × 324.01
  4. Step 4: Simplify right side
    786.24x = 382,102.34
  5. Step 5: Solve for x
    x = 382,102.34/786.24
  6. Step 6: Final answer
    x = 485.99

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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.