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Finding the Fourth Proportional to 872.86, 1,307.59 and 579.50

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Solution

The fourth proportional to 872.86, 1,307.59 and 579.50 is: 868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.86 : 1,307.59 = 579.50 : x
  2. Step 2: Convert to fraction form
    872.86/1,307.59 = 579.50/x
  3. Step 3: Cross multiply
    872.86x = 1,307.59 × 579.50
  4. Step 4: Simplify right side
    872.86x = 757,743.99
  5. Step 5: Solve for x
    x = 757,743.99/872.86
  6. Step 6: Final answer
    x = 868.11

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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.