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Finding the Fourth Proportional to 780.02, 1,170.20 and 232.25

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Solution

The fourth proportional to 780.02, 1,170.20 and 232.25 is: 348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.02 : 1,170.20 = 232.25 : x
  2. Step 2: Convert to fraction form
    780.02/1,170.20 = 232.25/x
  3. Step 3: Cross multiply
    780.02x = 1,170.20 × 232.25
  4. Step 4: Simplify right side
    780.02x = 271,771.94
  5. Step 5: Solve for x
    x = 271,771.94/780.02
  6. Step 6: Final answer
    x = 348.42

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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.