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Finding the Fourth Proportional to 780.52, 1,171.09 and 347.38

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Solution

The fourth proportional to 780.52, 1,171.09 and 347.38 is: 521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.52 : 1,171.09 = 347.38 : x
  2. Step 2: Convert to fraction form
    780.52/1,171.09 = 347.38/x
  3. Step 3: Cross multiply
    780.52x = 1,171.09 × 347.38
  4. Step 4: Simplify right side
    780.52x = 406,813.24
  5. Step 5: Solve for x
    x = 406,813.24/780.52
  6. Step 6: Final answer
    x = 521.21

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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.