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Finding the Fourth Proportional to 784.02, 1,176.09 and 264.27

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Solution

The fourth proportional to 784.02, 1,176.09 and 264.27 is: 396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,176.09 = 264.27 : x
  2. Step 2: Convert to fraction form
    784.02/1,176.09 = 264.27/x
  3. Step 3: Cross multiply
    784.02x = 1,176.09 × 264.27
  4. Step 4: Simplify right side
    784.02x = 310,805.30
  5. Step 5: Solve for x
    x = 310,805.30/784.02
  6. Step 6: Final answer
    x = 396.43

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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.