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Finding the Fourth Proportional to 786.34, 1,178.92 and 266.02

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Solution

The fourth proportional to 786.34, 1,178.92 and 266.02 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.34 : 1,178.92 = 266.02 : x
  2. Step 2: Convert to fraction form
    786.34/1,178.92 = 266.02/x
  3. Step 3: Cross multiply
    786.34x = 1,178.92 × 266.02
  4. Step 4: Simplify right side
    786.34x = 313,613.68
  5. Step 5: Solve for x
    x = 313,613.68/786.34
  6. Step 6: Final answer
    x = 398.83

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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.