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Finding the Fourth Proportional to 780.94, 1,171.54 and 233.06

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Solution

The fourth proportional to 780.94, 1,171.54 and 233.06 is: 349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.94 : 1,171.54 = 233.06 : x
  2. Step 2: Convert to fraction form
    780.94/1,171.54 = 233.06/x
  3. Step 3: Cross multiply
    780.94x = 1,171.54 × 233.06
  4. Step 4: Simplify right side
    780.94x = 273,039.11
  5. Step 5: Solve for x
    x = 273,039.11/780.94
  6. Step 6: Final answer
    x = 349.63

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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.