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Finding the Fourth Proportional to 782.50, 1,174.19 and 349.63

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Solution

The fourth proportional to 782.50, 1,174.19 and 349.63 is: 524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.50 : 1,174.19 = 349.63 : x
  2. Step 2: Convert to fraction form
    782.50/1,174.19 = 349.63/x
  3. Step 3: Cross multiply
    782.50x = 1,174.19 × 349.63
  4. Step 4: Simplify right side
    782.50x = 410,532.05
  5. Step 5: Solve for x
    x = 410,532.05/782.50
  6. Step 6: Final answer
    x = 524.64

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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.