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Finding the Fourth Proportional to 781.43, 1,172.09 and 319.09

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Solution

The fourth proportional to 781.43, 1,172.09 and 319.09 is: 478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.43 : 1,172.09 = 319.09 : x
  2. Step 2: Convert to fraction form
    781.43/1,172.09 = 319.09/x
  3. Step 3: Cross multiply
    781.43x = 1,172.09 × 319.09
  4. Step 4: Simplify right side
    781.43x = 373,994.74
  5. Step 5: Solve for x
    x = 373,994.74/781.43
  6. Step 6: Final answer
    x = 478.60

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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.