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Finding the Fourth Proportional to 782.14, 1,173.54 and 349

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Solution

The fourth proportional to 782.14, 1,173.54 and 349 is: 523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.14 : 1,173.54 = 349 : x
  2. Step 2: Convert to fraction form
    782.14/1,173.54 = 349/x
  3. Step 3: Cross multiply
    782.14x = 1,173.54 × 349
  4. Step 4: Simplify right side
    782.14x = 409,565.46
  5. Step 5: Solve for x
    x = 409,565.46/782.14
  6. Step 6: Final answer
    x = 523.65

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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.