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Finding the Fourth Proportional to 784.45, 1,176.78 and 264.23

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Solution

The fourth proportional to 784.45, 1,176.78 and 264.23 is: 396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.45 : 1,176.78 = 264.23 : x
  2. Step 2: Convert to fraction form
    784.45/1,176.78 = 264.23/x
  3. Step 3: Cross multiply
    784.45x = 1,176.78 × 264.23
  4. Step 4: Simplify right side
    784.45x = 310,940.58
  5. Step 5: Solve for x
    x = 310,940.58/784.45
  6. Step 6: Final answer
    x = 396.38

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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.