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Finding the Fourth Proportional to 786.02, 1,178.36 and 299.42

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Solution

The fourth proportional to 786.02, 1,178.36 and 299.42 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.02 : 1,178.36 = 299.42 : x
  2. Step 2: Convert to fraction form
    786.02/1,178.36 = 299.42/x
  3. Step 3: Cross multiply
    786.02x = 1,178.36 × 299.42
  4. Step 4: Simplify right side
    786.02x = 352,824.55
  5. Step 5: Solve for x
    x = 352,824.55/786.02
  6. Step 6: Final answer
    x = 448.87

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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.