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Finding the Fourth Proportional to 783.09, 1,174.23 and 349.88

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Solution

The fourth proportional to 783.09, 1,174.23 and 349.88 is: 524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.09 : 1,174.23 = 349.88 : x
  2. Step 2: Convert to fraction form
    783.09/1,174.23 = 349.88/x
  3. Step 3: Cross multiply
    783.09x = 1,174.23 × 349.88
  4. Step 4: Simplify right side
    783.09x = 410,833.72
  5. Step 5: Solve for x
    x = 410,833.72/783.09
  6. Step 6: Final answer
    x = 524.63

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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.