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Finding the Fourth Proportional to 872.06, 1,307.86 and 344.89

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Solution

The fourth proportional to 872.06, 1,307.86 and 344.89 is: 517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.06 : 1,307.86 = 344.89 : x
  2. Step 2: Convert to fraction form
    872.06/1,307.86 = 344.89/x
  3. Step 3: Cross multiply
    872.06x = 1,307.86 × 344.89
  4. Step 4: Simplify right side
    872.06x = 451,061.25
  5. Step 5: Solve for x
    x = 451,061.25/872.06
  6. Step 6: Final answer
    x = 517.23

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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.