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Finding the Fourth Proportional to 782.61, 1,172.89 and 319.86

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Solution

The fourth proportional to 782.61, 1,172.89 and 319.86 is: 479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.61 : 1,172.89 = 319.86 : x
  2. Step 2: Convert to fraction form
    782.61/1,172.89 = 319.86/x
  3. Step 3: Cross multiply
    782.61x = 1,172.89 × 319.86
  4. Step 4: Simplify right side
    782.61x = 375,154.73
  5. Step 5: Solve for x
    x = 375,154.73/782.61
  6. Step 6: Final answer
    x = 479.37

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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.