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Finding the Fourth Proportional to 847.72, 1,271.64 and 327.97

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Solution

The fourth proportional to 847.72, 1,271.64 and 327.97 is: 491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.72 : 1,271.64 = 327.97 : x
  2. Step 2: Convert to fraction form
    847.72/1,271.64 = 327.97/x
  3. Step 3: Cross multiply
    847.72x = 1,271.64 × 327.97
  4. Step 4: Simplify right side
    847.72x = 417,059.77
  5. Step 5: Solve for x
    x = 417,059.77/847.72
  6. Step 6: Final answer
    x = 491.98

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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.