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Finding the Fourth Proportional to 784.25, 1,176.78 and 399.50

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Solution

The fourth proportional to 784.25, 1,176.78 and 399.50 is: 599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.25 : 1,176.78 = 399.50 : x
  2. Step 2: Convert to fraction form
    784.25/1,176.78 = 399.50/x
  3. Step 3: Cross multiply
    784.25x = 1,176.78 × 399.50
  4. Step 4: Simplify right side
    784.25x = 470,123.61
  5. Step 5: Solve for x
    x = 470,123.61/784.25
  6. Step 6: Final answer
    x = 599.46

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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.