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Finding the Fourth Proportional to 851.08, 1,174.49 and 478.08

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Solution

The fourth proportional to 851.08, 1,174.49 and 478.08 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.08 : 1,174.49 = 478.08 : x
  2. Step 2: Convert to fraction form
    851.08/1,174.49 = 478.08/x
  3. Step 3: Cross multiply
    851.08x = 1,174.49 × 478.08
  4. Step 4: Simplify right side
    851.08x = 561,491.92
  5. Step 5: Solve for x
    x = 561,491.92/851.08
  6. Step 6: Final answer
    x = 659.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.