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Finding the Fourth Proportional to 847.85, 1,272.57 and 437.27

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Solution

The fourth proportional to 847.85, 1,272.57 and 437.27 is: 656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.85 : 1,272.57 = 437.27 : x
  2. Step 2: Convert to fraction form
    847.85/1,272.57 = 437.27/x
  3. Step 3: Cross multiply
    847.85x = 1,272.57 × 437.27
  4. Step 4: Simplify right side
    847.85x = 556,456.68
  5. Step 5: Solve for x
    x = 556,456.68/847.85
  6. Step 6: Final answer
    x = 656.32

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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.